SOME CHARACTERIZATIONS OF ARTINIAN RINGS

H. Khabazian

Makale detayları

SOME CHARACTERIZATIONS OF ARTINIAN RINGS

Yazarlar:

H. Khabazian

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.1-9

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718322

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

In this paper, we investigate rings in which the prime radical is an annihilator and present a characterization of Artinian rings satisfying this property. We also study rings in which the singular ideal and the prime radical coincide. Finally we show that Artinian rings are the direct product of a semiprime ring and a semiprime-free ring (ring in which every nonzero ideal contains a nonzero nilpotent ideal) and present a result on quasi-Baer Artinian rings.

Makale detayları

SOME CHARACTERIZATIONS OF ARTINIAN RINGS

Yazarlar: H. Khabazian

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.1-9

Belge Tipi: Makale

Yayın Tarihi: 5/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000718322

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

H. Khabazian

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.1-9

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718322

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048