Generalization of results obtained from a paper that may be “false”











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I am a PhD student in mathematics, currently working on an article (article A) from two leading researchers in my field published in an 0.72 Impact journal.



I have an idea to generalize their results and publish my first article (paper B) but I have two problems:



In one of the demonstrations of the newspaper A, they made a passage "crucial" which is not quite correct, according to several discussions with my supervisor .



What should I do with this situation? should I try to find another proof for the theorem and write it in a paper?



In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A.



Do you think there is any chance that this can be considered plagiarism?





Any other advice about what to do in this situation is welcome, I would especially appreciate answers from mathematicians, as I have the impression that standard practices differ significantly from field to field.










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    up vote
    2
    down vote

    favorite
    1












    I am a PhD student in mathematics, currently working on an article (article A) from two leading researchers in my field published in an 0.72 Impact journal.



    I have an idea to generalize their results and publish my first article (paper B) but I have two problems:



    In one of the demonstrations of the newspaper A, they made a passage "crucial" which is not quite correct, according to several discussions with my supervisor .



    What should I do with this situation? should I try to find another proof for the theorem and write it in a paper?



    In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A.



    Do you think there is any chance that this can be considered plagiarism?





    Any other advice about what to do in this situation is welcome, I would especially appreciate answers from mathematicians, as I have the impression that standard practices differ significantly from field to field.










    share|improve this question







    New contributor




    Motaka is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      2
      down vote

      favorite
      1









      up vote
      2
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      favorite
      1






      1





      I am a PhD student in mathematics, currently working on an article (article A) from two leading researchers in my field published in an 0.72 Impact journal.



      I have an idea to generalize their results and publish my first article (paper B) but I have two problems:



      In one of the demonstrations of the newspaper A, they made a passage "crucial" which is not quite correct, according to several discussions with my supervisor .



      What should I do with this situation? should I try to find another proof for the theorem and write it in a paper?



      In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A.



      Do you think there is any chance that this can be considered plagiarism?





      Any other advice about what to do in this situation is welcome, I would especially appreciate answers from mathematicians, as I have the impression that standard practices differ significantly from field to field.










      share|improve this question







      New contributor




      Motaka is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I am a PhD student in mathematics, currently working on an article (article A) from two leading researchers in my field published in an 0.72 Impact journal.



      I have an idea to generalize their results and publish my first article (paper B) but I have two problems:



      In one of the demonstrations of the newspaper A, they made a passage "crucial" which is not quite correct, according to several discussions with my supervisor .



      What should I do with this situation? should I try to find another proof for the theorem and write it in a paper?



      In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A.



      Do you think there is any chance that this can be considered plagiarism?





      Any other advice about what to do in this situation is welcome, I would especially appreciate answers from mathematicians, as I have the impression that standard practices differ significantly from field to field.







      publications phd mathematics






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      Motaka is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      asked 4 hours ago









      Motaka

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          What should I do [when a published result contains a mistake]? should I try to find another proof for the theorem and write it in a paper?




          You cannot use their result as-is, because it is incorrect. If their result is sufficiently interesting, then you could perhaps publish a paper that corrects their result, otherwise, you could include a correction in your paper before using the corrected result.




          In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A. Do you think there is any chance that this can be considered plagiarism?




          No.



          You should make it clear that the theorems introduced in Article A are incorrect, and you should clearly motivate the introduction of your similar theorems that correct the originals.



          This isn't plagiarism.





          The OP clarified their plagiarism concerns as follows:




          my proofs will be similar to those used in paper A, except that I weakened the hypotheses.




          Before stating your proof, you could explain "The following proof builds upon a proof by Original Authors [Theorem X, Paper A]," you could go further and explain "novel aspects appear in the first, third and fourth paragraphs" or "novel aspects will be highlighted in the proof" (with suitable highlighting in the proof, e.g., "this aspect is new," possibly parenthesised).






          share|improve this answer























          • Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
            – Motaka
            4 hours ago










          • Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
            – Buffy
            2 hours ago










          • @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
            – user2768
            2 hours ago










          • @user2768 ok Thank you, I will take all that into consideration..
            – Motaka
            1 hour ago











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          up vote
          8
          down vote



          accepted











          What should I do [when a published result contains a mistake]? should I try to find another proof for the theorem and write it in a paper?




          You cannot use their result as-is, because it is incorrect. If their result is sufficiently interesting, then you could perhaps publish a paper that corrects their result, otherwise, you could include a correction in your paper before using the corrected result.




          In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A. Do you think there is any chance that this can be considered plagiarism?




          No.



          You should make it clear that the theorems introduced in Article A are incorrect, and you should clearly motivate the introduction of your similar theorems that correct the originals.



          This isn't plagiarism.





          The OP clarified their plagiarism concerns as follows:




          my proofs will be similar to those used in paper A, except that I weakened the hypotheses.




          Before stating your proof, you could explain "The following proof builds upon a proof by Original Authors [Theorem X, Paper A]," you could go further and explain "novel aspects appear in the first, third and fourth paragraphs" or "novel aspects will be highlighted in the proof" (with suitable highlighting in the proof, e.g., "this aspect is new," possibly parenthesised).






          share|improve this answer























          • Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
            – Motaka
            4 hours ago










          • Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
            – Buffy
            2 hours ago










          • @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
            – user2768
            2 hours ago










          • @user2768 ok Thank you, I will take all that into consideration..
            – Motaka
            1 hour ago















          up vote
          8
          down vote



          accepted











          What should I do [when a published result contains a mistake]? should I try to find another proof for the theorem and write it in a paper?




          You cannot use their result as-is, because it is incorrect. If their result is sufficiently interesting, then you could perhaps publish a paper that corrects their result, otherwise, you could include a correction in your paper before using the corrected result.




          In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A. Do you think there is any chance that this can be considered plagiarism?




          No.



          You should make it clear that the theorems introduced in Article A are incorrect, and you should clearly motivate the introduction of your similar theorems that correct the originals.



          This isn't plagiarism.





          The OP clarified their plagiarism concerns as follows:




          my proofs will be similar to those used in paper A, except that I weakened the hypotheses.




          Before stating your proof, you could explain "The following proof builds upon a proof by Original Authors [Theorem X, Paper A]," you could go further and explain "novel aspects appear in the first, third and fourth paragraphs" or "novel aspects will be highlighted in the proof" (with suitable highlighting in the proof, e.g., "this aspect is new," possibly parenthesised).






          share|improve this answer























          • Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
            – Motaka
            4 hours ago










          • Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
            – Buffy
            2 hours ago










          • @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
            – user2768
            2 hours ago










          • @user2768 ok Thank you, I will take all that into consideration..
            – Motaka
            1 hour ago













          up vote
          8
          down vote



          accepted







          up vote
          8
          down vote



          accepted







          What should I do [when a published result contains a mistake]? should I try to find another proof for the theorem and write it in a paper?




          You cannot use their result as-is, because it is incorrect. If their result is sufficiently interesting, then you could perhaps publish a paper that corrects their result, otherwise, you could include a correction in your paper before using the corrected result.




          In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A. Do you think there is any chance that this can be considered plagiarism?




          No.



          You should make it clear that the theorems introduced in Article A are incorrect, and you should clearly motivate the introduction of your similar theorems that correct the originals.



          This isn't plagiarism.





          The OP clarified their plagiarism concerns as follows:




          my proofs will be similar to those used in paper A, except that I weakened the hypotheses.




          Before stating your proof, you could explain "The following proof builds upon a proof by Original Authors [Theorem X, Paper A]," you could go further and explain "novel aspects appear in the first, third and fourth paragraphs" or "novel aspects will be highlighted in the proof" (with suitable highlighting in the proof, e.g., "this aspect is new," possibly parenthesised).






          share|improve this answer















          What should I do [when a published result contains a mistake]? should I try to find another proof for the theorem and write it in a paper?




          You cannot use their result as-is, because it is incorrect. If their result is sufficiently interesting, then you could perhaps publish a paper that corrects their result, otherwise, you could include a correction in your paper before using the corrected result.




          In the paper B, I will use theorems similar to those of Article A, but by weakening the assumptions assumed in A. Do you think there is any chance that this can be considered plagiarism?




          No.



          You should make it clear that the theorems introduced in Article A are incorrect, and you should clearly motivate the introduction of your similar theorems that correct the originals.



          This isn't plagiarism.





          The OP clarified their plagiarism concerns as follows:




          my proofs will be similar to those used in paper A, except that I weakened the hypotheses.




          Before stating your proof, you could explain "The following proof builds upon a proof by Original Authors [Theorem X, Paper A]," you could go further and explain "novel aspects appear in the first, third and fourth paragraphs" or "novel aspects will be highlighted in the proof" (with suitable highlighting in the proof, e.g., "this aspect is new," possibly parenthesised).







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 4 hours ago

























          answered 4 hours ago









          user2768

          10.7k22847




          10.7k22847












          • Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
            – Motaka
            4 hours ago










          • Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
            – Buffy
            2 hours ago










          • @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
            – user2768
            2 hours ago










          • @user2768 ok Thank you, I will take all that into consideration..
            – Motaka
            1 hour ago


















          • Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
            – Motaka
            4 hours ago










          • Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
            – Buffy
            2 hours ago










          • @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
            – user2768
            2 hours ago










          • @user2768 ok Thank you, I will take all that into consideration..
            – Motaka
            1 hour ago
















          Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
          – Motaka
          4 hours ago




          Thank you for your answer. to answer your why, my proofs will be similar to those used in paper A, except that I weakened the hypotheses. in short, my paper will be in the same form as A.
          – Motaka
          4 hours ago












          Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
          – Buffy
          2 hours ago




          Plagiarism is claiming that something is yours when it is actually due to another. You aren't doing that here in any way. So, no, it isn't plagiarism. The original authors may not be happy with you for using the same overall structure of the paper, but your citation makes the origination clear. It sounds like you have a perfectly valid generalization in mind, here.
          – Buffy
          2 hours ago












          @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
          – user2768
          2 hours ago




          @Motaka Beyond what I have written above, you might like to consider bringing the original authors on-board as your co-authors.
          – user2768
          2 hours ago












          @user2768 ok Thank you, I will take all that into consideration..
          – Motaka
          1 hour ago




          @user2768 ok Thank you, I will take all that into consideration..
          – Motaka
          1 hour ago










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