On a generalization of C2C2C_2-modules

Abdoul Djibril DİALLO; Papa Cheikhou DIOP; Rachid TRİBAK

doi:https://doi.org/10.15672/hujms.792212

Makale detayları

On a generalization of C2C2C_2-modules

Yazarlar:

Abdoul Djibril DİALLO | Papa Cheikhou DIOP | Rachid TRİBAK

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.430-442

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450289

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.792212

Özet:

 

A module MMM is called a C21C21C_{21}-module if, whenever AAA and BBB are submodules of MMM with A≅BA≅BA \cong B, AAA is nonsingular and BBB is a direct summand of MMM, then AAA is a direct summand of MMM. Various examples of C21C21C_{21}-modules are presented. Some basic properties of these modules are investigated. It is shown that the class of rings RRR over which every C21C21C_{21}-module is a C2C2C_2-module is exactly that of right SI-rings. Also, we prove that for a ring RRR, every RRR-module has (C21)(C21)(C_{21}) if and only if RRR is a right t-semisimple ring.

Makale detayları

On a generalization of C2C2C_2-modules

Yazarlar: Abdoul Djibril DİALLO | Papa Cheikhou DIOP | Rachid TRİBAK

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.430-442

Belge Tipi: Makale

Yayın Tarihi: 3/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450289

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.792212

Sayı

Yazarlar:

Abdoul Djibril DİALLO | Papa Cheikhou DIOP | Rachid TRİBAK

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.430-442

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450289

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.792212