Weak-projective dimensions

Mohammad Javad NIKMEHR; Zahra Poormahmood And Reza NIKANDISH

Article Details

Weak-projective dimensions

Authors:

Mohammad Javad NIKMEHR | Zahra Poormahmood And Reza NIKANDISH

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 4, pp.627-636

Document Type:

Article

Publication Date:

3/2011

Document Language:

Turkish

Document ID (Org No.):

2000747890

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

In this paper, the notions of weak-projective modules and  weak-projective dimension over commutative domain R are given.  It is  shown that over semisimple rings with weak global dimension 1, these  modules are equivalent to weak-injective modules.  The weak-projective  dimension measures how far away a domain is from being a Prüfer  domain.  Several properties of these modules are also presented.

 

In this paper, the notions of weak-projective modules and  weak-projective dimension over commutative domain R are given.  It is  shown that over semisimple rings with weak global dimension 1, these  modules are equivalent to weak-injective modules.  The weak-projective  dimension measures how far away a domain is from being a Prüfer  domain.  Several properties of these modules are also presented.

Article Details

Weak-projective dimensions

Authors:

Mohammad Javad NIKMEHR | Zahra Poormahmood And Reza NIKANDISH

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 4, pp.627-636

Document Type:

Article

Publication Date:

3/2011

Document Language:

Turkish

Document ID (Org No.):

2000747890

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Semi-Dedekind domain; Weak-injective modules; Weak- projective dimension

projective modules; Prüfer domain

Issues

Article Details

Weak-projective dimensions

Authors: Mohammad Javad NIKMEHR | Zahra Poormahmood And Reza NIKANDISH

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2011 Vol.35 Issue 4, pp.627-636

Document Type: Article

Publication Date: 3/2011

Document Language: Turkish

Document ID (Org No.): 2000747890

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Semi-Dedekind domain; Weak-injective modules; Weak- projective dimension

projective modules; Prüfer domain

Issues

Authors:

Mohammad Javad NIKMEHR | Zahra Poormahmood And Reza NIKANDISH

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 4, pp.627-636

Document Type:

Article

Publication Date:

3/2011

Document Language:

Turkish

Document ID (Org No.):

2000747890

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098