⊕⊕\oplus-co-coatomically supplemented and co-coatomically semiperfect modules

Rafail ALİZADE; Serpil GÜNGÖR

Makale detayları

⊕⊕\oplus-co-coatomically supplemented and co-coatomically semiperfect modules

Yazarlar:

Rafail ALİZADE | Serpil GÜNGÖR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1417-1426

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451692

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In  this paper it is shown that a factor module of an ⊕⊕\oplus-co-coatomically supplemented module is not in general ⊕⊕\oplus-co-coatomically supplemented. If MMM is ⊕⊕\oplus-co-coatomically supplemented and UUU is a fully invariant submodule of MMM, then M/UM/UM/U is ⊕⊕\oplus-co-coatomically supplemented. A ring RRR is left perfect if and only if R(N)R(N)R^{(\mathbb{N})} is an ⊕⊕\oplus-co-coatomically supplemented RRR-module. A projective module MMM is co-coatomically semiperfect if and only if MMM is ⊕⊕\oplus-co-coatomically supplemented. A ring is semiperfect if and only if every finitely generated free RRR-module is co-coatomically semiperfect.

Makale detayları

⊕⊕\oplus-co-coatomically supplemented and co-coatomically semiperfect modules

Yazarlar: Rafail ALİZADE | Serpil GÜNGÖR

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1417-1426

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000451692

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Rafail ALİZADE | Serpil GÜNGÖR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 6, pp.1417-1426

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451692

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X