On Reduced and Semicommutative Modules

Muhittin BAŞER

Article Details

On Reduced and Semicommutative Modules

Authors:

Muhittin BAŞER

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2006 Vol.30 Issue 3, pp.285-291

Document Type:

Article

Publication Date:

2/2006

Document Language:

Turkish

Document ID (Org No.):

2000748548

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

In this paper, various results of reduced and semicommutative  rings are extended to reduced and semicommutative modules.  In  particular, we show: (1) For a principally quasi-Baer module, MR is  semicommutative if and only if MR is reduced.  (2) If MR is a  p.p.-module then MR is nonsingular.

 

In this paper, various results of reduced and semicommutative  rings are extended to reduced and semicommutative modules.  In  particular, we show: (1) For a principally quasi-Baer module, MR is  semicommutative if and only if MR is reduced.  (2) If MR is a  p.p.-module then MR is nonsingular.

Article Details

On Reduced and Semicommutative Modules

Authors:

Muhittin BAŞER

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2006 Vol.30 Issue 3, pp.285-291

Document Type:

Article

Publication Date:

2/2006

Document Language:

Turkish

Document ID (Org No.):

2000748548

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Reduced Rings (Modules)

Baer

quasi-Baer and Rings (Modules)

Issues

Article Details

On Reduced and Semicommutative Modules

Authors: Muhittin BAŞER

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2006 Vol.30 Issue 3, pp.285-291

Document Type: Article

Publication Date: 2/2006

Document Language: Turkish

Document ID (Org No.): 2000748548

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Reduced Rings (Modules)

Baer

quasi-Baer and Rings (Modules)

Issues

Authors:

Muhittin BAŞER

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2006 Vol.30 Issue 3, pp.285-291

Document Type:

Article

Publication Date:

2/2006

Document Language:

Turkish

Document ID (Org No.):

2000748548

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098