DP-PROJECTIVE MODULES AND DIMENSIONS

Tiwei ZHAO

doi:https://doi.org/10.24330/ieja.266241

Makale detayları

DP-PROJECTIVE MODULES AND DIMENSIONS

Yazarlar:

Tiwei ZHAO

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.101-116

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000718204

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266241

Özet:

 

In this paper, we introduce the notion of DP-projective modules.
 It is shown that a left R-module M over a ring R is DP-projective if and only if
 it is a cokernel of a Ding projective preenvelope f : A → B with B projective.
 It is also shown that a ring R is semisimple if and only if every module is
 DP-projective. Moreover, we investigate (global) DP-projective dimensions of
 modules and rings. It is shown that l.DP-dim(R) = l.DP-ID(R). In addition,
 other applications of those dimensions defined in this way are presented.

Makale detayları

DP-PROJECTIVE MODULES AND DIMENSIONS

Yazarlar: Tiwei ZHAO

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.101-116

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000718204

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266241

Sayı

Yazarlar:

Tiwei ZHAO

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.101-116

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000718204

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266241