A characterization of Auslander category

Juxiang SUN

Makale detayları

A characterization of Auslander category

Yazarlar:

Juxiang SUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 5, pp.793-805

Belge Tipi:

Makale

Yayın Tarihi:

4/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747518

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper, we discuss the Bass class and the Auslander class  with respect to a semidualizing module over an associative ring.  Let  SCR be a semidualizing module, we proved that the Bass class  BC (R) is a right orthogonal subcategory of some right  R-module; and that the Auslander class AC (S) is a left  orthogonal subcategory of the character module of some left  S-module.  As an application, we introduce the notion of the minimal  semidualizing module, and get a one to one correspondence between the  isomorphism classes of minimal semidualizing R-modules and maximal  classes among coresolving preenvelope classes of Mod R with the  same Ext-projective generators in  gen* R.

 

In this paper, we discuss the Bass class and the Auslander class  with respect to a semidualizing module over an associative ring.  Let  SCR be a semidualizing module, we proved that the Bass class  BC (R) is a right orthogonal subcategory of some right  R-module; and that the Auslander class AC (S) is a left  orthogonal subcategory of the character module of some left  S-module.  As an application, we introduce the notion of the minimal  semidualizing module, and get a one to one correspondence between the  isomorphism classes of minimal semidualizing R-modules and maximal  classes among coresolving preenvelope classes of Mod R with the  same Ext-projective generators in  gen* R.

Makale detayları

A characterization of Auslander category

Yazarlar:

Juxiang SUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 5, pp.793-805

Belge Tipi:

Makale

Yayın Tarihi:

4/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747518

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Semidualizing module

Auslander class

Bass class

Sayı

Makale detayları

A characterization of Auslander category

Yazarlar: Juxiang SUN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 5, pp.793-805

Belge Tipi: Makale

Yayın Tarihi: 4/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000747518

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Semidualizing module

Auslander class

Bass class

Sayı

Yazarlar:

Juxiang SUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 5, pp.793-805

Belge Tipi:

Makale

Yayın Tarihi:

4/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747518

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098