Rings whose units commute with zero divisor elements

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Tarih

2020

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Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper is about rings R for which units commute with zero divisors. These rings are called uni-zero divisor rings. It is deduced that uni-zero divisor ring is not abelian and also give several examples of some important classes of rings (a kind of integral matrices, matrix ring over any stably finite ring ) that are not unizero divisor ring. Here many characterizations of uni-zero divisor rings are compared with well-known classes of rings. Moreover, the uni-zero divisor rings property is studied under some algebraic constructions.

Açıklama

Anahtar Kelimeler

Kaynak

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Cilt

13

Sayı

3

Künye