Devamını Göster

Özet

Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigidif for any a,b ∈ R, $a^2 b = 0$ implies ab belongs to the center of R.Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some resu lts of reduced rings can be extended to central rigid rings for this general setting, in particular, it is shown that every reduced ring is central rigid, every central rigid ring is central reversible, central sem icommutative, 2-primal, abelian and so directly finite.

Anahtar Kelimeler

Makale Türü	Özgün Makale
Makale Alt Türü	SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı	Hacettepe Journal of Mathematics and Statistics
Dergi ISSN	1303-5010
Dergi Tarandığı Indeksler	SCI-Expanded
Makale Dili	İngilizce
Basım Tarihi	01-2012
Cilt No	41
Sayı	5
Sayfalar	689 / 696

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