Correction

Correction: On S-principal right ideal rings

  • Received: 21 March 2023 Accepted: 27 March 2023 Published: 29 March 2023
  • Citation: Jongwook Baeck. Correction: On S-principal right ideal rings[J]. AIMS Mathematics, 2023, 8(6): 12694-12695. doi: 10.3934/math.2023638

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  • On S-principal right ideal rings

    by Jongwook Baeck. AIMS Mathematics, 2022, 7(7): 12106–12122.

    DOI: 10.3934/math.2022673

    The author would like to make the following correction to the published paper [1].

    Let R be an associative (not necessarily commutative) ring with unity. If an element eR is idempotent, then e(1e)=0=(1e)e. Therefore, if e is not a zero-divisor in R, then e must be the unity element. Thus, we should replace "e is not a zero-divisor" with "the multiplicative subsets eS and (1e)S do not contain the zero element" in [1,Corollary 2.13].

    Additionally, to provide an accurate information for the readers, we confirm that the nineteenth paper in [1,References] is published [2].

    The change has no material impact on the conclusion of the article. The original manuscript will be updated [1]. We apologize for any inconvenience caused to the readers by this change.

    The author declares no conflict of interest.



    [1] J. Baeck, On S-principal right ideal rings, AIMS Math., 7 (2022), 12106–12122. http://doi.org/10.3934/math.2022673 doi: 10.3934/math.2022673
    [2] G. Lee, J. Baeck, J. W. Lim, Eakin-Nagata-Eisenbud theorem for right S-Noetherian rings, Taiwanese J. Math., 27 (2023), 237–257. http://doi.org/10.11650/tjm/221101 doi: 10.11650/tjm/221101
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