Extensions and s-comparability of exchange rings

Chaoling HUANG

Makale detayları

Extensions and s-comparability of exchange rings

Yazarlar:

Chaoling HUANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.544-549

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747737

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let S be a ring extension of R. In this note, for any  positive integer s we study s-comparability related to ring  extensions.  We show that if S is an excellent extension of R, R and S  are exchange rings, and R has the n-unperforation property.  R  satisfies s-comparability if and we only if so does S, and we prove  that for a 2-sided ideal J of S, and an exchange subring R of the  exchange ring S, which contains J as a direct summand, then R  satisfies s-comparability if and only if so does R/J.

 

Let S be a ring extension of R. In this note, for any  positive integer s we study s-comparability related to ring  extensions.  We show that if S is an excellent extension of R, R and S  are exchange rings, and R has the n-unperforation property.  R  satisfies s-comparability if and we only if so does S, and we prove  that for a 2-sided ideal J of S, and an exchange subring R of the  exchange ring S, which contains J as a direct summand, then R  satisfies s-comparability if and only if so does R/J.

Makale detayları

Extensions and s-comparability of exchange rings

Yazarlar:

Chaoling HUANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.544-549

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747737

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Exchange rings

excellent extensions

s-comparability

Sayı

Makale detayları

Extensions and s-comparability of exchange rings

Yazarlar: Chaoling HUANG

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.544-549

Belge Tipi: Makale

Yayın Tarihi: 3/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747737

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Exchange rings

excellent extensions

s-comparability

Sayı

Yazarlar:

Chaoling HUANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.544-549

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747737

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098