Module classes and the lifting property

Muhammet  Tamer KOŞAN

Makale detayları

Module classes and the lifting property

Yazarlar:

Muhammet Tamer KOŞAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 3, pp.379-389

Belge Tipi:

Makale

Yayın Tarihi:

2/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747928

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let R be a ring.  A collection of R-modules containing the  zero module and closed under isomorphisms will be denoted by X. An  R-module M is said to be X-lifting if for every X-submodule N of M  there exists A \leq N such that M=A \oplus B and N \cap B is small in  B [11].  In the present paper, we consider the question:  Can we characterize X-lifting modules via objects of  the class X?.

 

Let R be a ring.  A collection of R-modules containing the  zero module and closed under isomorphisms will be denoted by X. An  R-module M is said to be X-lifting if for every X-submodule N of M  there exists A \leq N such that M=A \oplus B and N \cap B is small in  B [11].  In the present paper, we consider the question:  Can we characterize X-lifting modules via objects of  the class X?.

Makale detayları

Module classes and the lifting property

Yazarlar:

Muhammet Tamer KOŞAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 3, pp.379-389

Belge Tipi:

Makale

Yayın Tarihi:

2/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747928

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Lifting module

torsion theory

Sayı

Makale detayları

Module classes and the lifting property

Yazarlar: Muhammet Tamer KOŞAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2011 Vol.35 Issue 3, pp.379-389

Belge Tipi: Makale

Yayın Tarihi: 2/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000747928

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Lifting module

torsion theory

Sayı

Yazarlar:

Muhammet Tamer KOŞAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 3, pp.379-389

Belge Tipi:

Makale

Yayın Tarihi:

2/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747928

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098