UC modules with respect to a torsion theory

Seçil ÇEKEN; Mustafa ALKAN

Makale detayları

UC modules with respect to a torsion theory

Yazarlar:

Seçil ÇEKEN | Mustafa ALKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.376-385

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747773

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper, we give some characterizations of modules M  over a ring R such that every submodule has a unique closure relative  to a hereditary torsion theory on Mod-R by using the concept of  t-closed submodule which was studied in [2].  We compare UC and  t-UC modules and examine the relationships between them.  We also  give some examples of t-UC and UC modules and submodules which  have a unique t-closure and unique closure.

 

In this paper, we give some characterizations of modules M  over a ring R such that every submodule has a unique closure relative  to a hereditary torsion theory on Mod-R by using the concept of  t-closed submodule which was studied in [2].  We compare UC and  t-UC modules and examine the relationships between them.  We also  give some examples of t-UC and UC modules and submodules which  have a unique t-closure and unique closure.

Makale detayları

UC modules with respect to a torsion theory

Yazarlar:

Seçil ÇEKEN | Mustafa ALKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.376-385

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747773

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Hereditary torsion theory

t-closed submodule

UC module

t-UC module

Sayı

Makale detayları

UC modules with respect to a torsion theory

Yazarlar: Seçil ÇEKEN | Mustafa ALKAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.376-385

Belge Tipi: Makale

Yayın Tarihi: 2/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747773

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Hereditary torsion theory

t-closed submodule

UC module

t-UC module

Sayı

Yazarlar:

Seçil ÇEKEN | Mustafa ALKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.376-385

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747773

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098