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Özet

In this paper, we deal with a new approach to re*exive propertyfor rings by using nilpotent elements, in this direction we introduce nil-re*exiverings. It is shown that the notion of nil-re*exivity is a generalization of thatof nil-semicommutativity. Examples are given to show that nil-re*exive ringsneed not be re*exive and vice versa, and nil-re*exive rings but not semicommutative are presented. We also proved that every ring with identity is weaklyre*exive de...ned by Zhao, Zhu and Gu. Moreover, we investigate basic properties of nil-re*exive rings and provide some source of examples for this classof rings. We consider some extensions of nil-re*exive rings, such as trivialextensions, polynomial extensions and Nagata extensions.

Anahtar Kelimeler

Makale Türü	Özgün Makale
Makale Alt Türü	Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale
Dergi Adı	Commun. Fac.Sci. Univ. Ank. Series A1
Dergi Tarandığı Indeksler	Mathematical Reviews
Makale Dili	İngilizce
Basım Tarihi	02-2016
Cilt No	65
Sayı	1
Sayfalar	19 / 33
Doi Numarası	10.1501/Commua1_0000000741

Atıf Sayıları

Nil Reflexive Rings

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