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

Yilmaz DURĞUN

doi:https://doi.org/10.15672/hujms.880852

Makale detayları

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

Yazarlar:

Yilmaz DURĞUN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1169-1169

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450596

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.880852

Özet:

 

After the paper [1]  was published, the following information about D-extending modules was pointed out by Adnan Tercan. Let rrr be a left exact preradical in the category of right RRR-modules and let MMM be a right RRR-module. A submodule NNN of MMM is called exact in MMM provided r(M/N)=0r(M/N)=0r(M/N)=0. A module MMM is called an ES-module provided every exact submodule of MMM is a direct summand of MMM. ES-modules was introduced by A. Tercan in [2]. Since socle is left exact preradical, ES-modules coincide with D-extending modules for r=Socr=Socr=Soc.The author who first noticed the ES-module via personal communication with A. Tercan would like to thank him for this reference.

Makale detayları

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

Yazarlar: Yilmaz DURĞUN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1169-1169

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450596

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.880852

Sayı

Yazarlar:

Yilmaz DURĞUN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1169-1169

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450596

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.880852