Some notes on GQNGQNGQN rings

Long WANG; Junchao WEI

Makale detayları

Some notes on GQNGQNGQN rings

Yazarlar:

Long WANG | Junchao WEI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1497-1509

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745972

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

A ring RRR is called ageneralized quasinormal ring (abbreviated as GQNGQNGQN ring) if ea∈N(R)ea∈N(R)ea∈N(R) for each e∈E(R)e∈E(R)e∈ E(R) and a∈N(R)a∈N(R)a∈ N(R). The class of GQNGQNGQN rings is a proper generalization of quasinormal rings and NININI rings. Many properties of quasinormal rings are extended to GQNGQNGQN rings. For aGQNGQNGQN ring RRR and a∈Ra∈Ra∈ R, it is shown that:1) if aaa is a regular element, then aaa is a strongly regular element;2) if aaa is an exchange element, then aaa is clean;3) if RRR is a semiperiodic ring with J(R)≠N(R)J(R)≠N(R)J(R)\neq N(R), then RRR is commutative;4) if RRR is an MVNRMVNRMVNR, then RRR is strongly regular.

Makale detayları

Some notes on GQNGQNGQN rings

Yazarlar: Long WANG | Junchao WEI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1497-1509

Belge Tipi: Makale

Yayın Tarihi: 11/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000745972

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Long WANG | Junchao WEI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 6, pp.1497-1509

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745972

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098