GENERALIZATIONS OF INJECTIVE MODULES

Esperanza Sánchez Campos; Patrick F. Smith

Makale detayları

GENERALIZATIONS OF INJECTIVE MODULES

Yazarlar:

Esperanza Sánchez Campos | Patrick F. Smith

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.96-110

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718285

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

Let R be a ring with identity. Given a positive integer n, a unitary
 right R-module X is called n–injective provided, for every n-generated right
 ideal A of R, every R-homomorphism φ : A → X can be lifted to R. In
 this note we investigate this and related injectivity conditions and show that
 there are many rings R which have an n–injective module which is not (n+1)–
 injective.

Makale detayları

GENERALIZATIONS OF INJECTIVE MODULES

Yazarlar: Esperanza Sánchez Campos | Patrick F. Smith

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.96-110

Belge Tipi: Makale

Yayın Tarihi: 5/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000718285

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Esperanza Sánchez Campos | Patrick F. Smith

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.96-110

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718285

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048