ON ALMOST NIL-INJECTIVE RINGS

Zhao Yu-e; Du Xianneng

Makale detayları

ON ALMOST NIL-INJECTIVE RINGS

Yazarlar:

Zhao Yu-e | Du Xianneng

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.103-113

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718336

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

Let R be a ring. The ring R is called right almost nil-injective, if
 for any a ∈ N(R), there exists a left ideal Xa of R such that lr(a) = Ra ⊕ Xa.
 In this paper, we give some characterizations and properties of almost nilinjective
 rings, which is a proper generalization of AP-injective ring and almost
 mininjective ring. And we study the regularity of right almost nil-injective ring,
 and in the same time, when every simple singular right R−module is almost
 nil-injective, we also give some properties of R .

Makale detayları

ON ALMOST NIL-INJECTIVE RINGS

Yazarlar: Zhao Yu-e | Du Xianneng

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.103-113

Belge Tipi: Makale

Yayın Tarihi: 5/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000718336

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Zhao Yu-e | Du Xianneng

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.103-113

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718336

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048