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Year 2021, Volume: 50 Issue: 4, 1169 - 1169, 06.08.2021
https://doi.org/10.15672/hujms.880852

Abstract

References

  • [1] Y. Durğun, D-extending modules, Hacet. J. Math. Stat. 49 (3), 914-920, 2020.
  • [2] A. Tercan, Modules Whose Exact Submodules Are Direct Summands, An. Şt. Univ. Ovidious Constanta 8 (2), 143-150, 2000.

Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]

Year 2021, Volume: 50 Issue: 4, 1169 - 1169, 06.08.2021
https://doi.org/10.15672/hujms.880852

Abstract

After the paper [1]  was published, the following information about D-extending modules was pointed out by Adnan Tercan.

Let $r$ be a left exact preradical in the category of right $R$-modules and let $M$ be a right $R$-module. A submodule $N$ of $M$ is called exact in $M$ provided $r(M/N)=0$. A module $M$ is called an ES-module provided every exact submodule of $M$ is a direct summand of $M$. ES-modules was introduced by A. Tercan in [2]. Since socle is left exact preradical, ES-modules coincide with D-extending modules for $r=Soc$.

The author who first noticed the ES-module via personal communication with A. Tercan would like to thank him for this reference.

References

  • [1] Y. Durğun, D-extending modules, Hacet. J. Math. Stat. 49 (3), 914-920, 2020.
  • [2] A. Tercan, Modules Whose Exact Submodules Are Direct Summands, An. Şt. Univ. Ovidious Constanta 8 (2), 143-150, 2000.
There are 2 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Yilmaz Durğun 0000-0002-1230-8964

Publication Date August 6, 2021
Published in Issue Year 2021 Volume: 50 Issue: 4

Cite

APA Durğun, Y. (2021). Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics, 50(4), 1169-1169. https://doi.org/10.15672/hujms.880852
AMA Durğun Y. Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics. August 2021;50(4):1169-1169. doi:10.15672/hujms.880852
Chicago Durğun, Yilmaz. “Addendum to ‘D-Extending Modules’ [Hacet. J. Math. Stat. 49(3), 914-920, 2020]”. Hacettepe Journal of Mathematics and Statistics 50, no. 4 (August 2021): 1169-69. https://doi.org/10.15672/hujms.880852.
EndNote Durğun Y (August 1, 2021) Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics 50 4 1169–1169.
IEEE Y. Durğun, “Addendum to ‘D-extending modules’ [Hacet. J. Math. Stat. 49(3), 914-920, 2020]”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 4, pp. 1169–1169, 2021, doi: 10.15672/hujms.880852.
ISNAD Durğun, Yilmaz. “Addendum to ‘D-Extending Modules’ [Hacet. J. Math. Stat. 49(3), 914-920, 2020]”. Hacettepe Journal of Mathematics and Statistics 50/4 (August 2021), 1169-1169. https://doi.org/10.15672/hujms.880852.
JAMA Durğun Y. Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics. 2021;50:1169–1169.
MLA Durğun, Yilmaz. “Addendum to ‘D-Extending Modules’ [Hacet. J. Math. Stat. 49(3), 914-920, 2020]”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 4, 2021, pp. 1169-, doi:10.15672/hujms.880852.
Vancouver Durğun Y. Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics. 2021;50(4):1169-.