A GENERALIZATION OF BAER RINGS

Kamal Paykan, A. Moussavi

Type: Article

Publication Date: 2015-03-05

Citations: 0

DOI: https://doi.org/10.12732/ijpam.v99i3.3

Abstract

A ring R is called generalized right Baer if for any non-empty subset S of R, the right annihilator r R (S n ) is generated by an idempotent for some positive integer n.Generalized Baer rings are special cases of generalized PP rings and a generalization of Baer rings.In this paper, many properties of these rings are studied and some characterizations of von Neumann regular rings and PP rings are extended.The behavior of the generalized right Baer condition is investigated with respect to various constructions and extensions and it is used to generalize many results on Baer rings and generalized right PP-rings.Some families of generalized right Baer-rings are presented and connections to related classes of rings are investigated.

Locations

International Journal of Pure and Apllied Mathematics - View - PDF

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Works Cited by This (16)

Action	Title	Year	Authors
+	Von Neumann regular rings	1979	K. R. Goodearl
+	On annihilator ideals of a polynomial ring over a noncommutative ring	2002	Yasuyuki Hirano
+	PRINCIPALLY QUASI-BAER RINGS	2001	Gary F. Birkenmeier Jin Yong Kim Jae Keol Park
+	Counterexamples on baer rings	1997	Yang Lee Nam Kyun Kim Chan Yong Hong
+	p.p. rings and generalized p.p. rings	2002	Chan Huh Hong Kee Kim Yang Lee
+	Armendariz Rings and Reduced Rings	2000	Nam Kyun Kim Yang Lee
+	Polynomial extensions of Baer and quasi-Baer rings	2001	Gary F. Birkenmeier Jin Yong Kim Jae Keol Park
+	On Baer and quasi-Baer rings	1970	Adolf Pollingher Abraham Zaks
+	Generalized Quasi-Baer Rings	2005	A. Moussavi Hamid Haj Seyyed Javadi Ebrahim Hashemı
+	Power Series Rings Satisfying a Zero Divisor Property	2006	Nam Kyun Kim Ki Hwan Lee Yang Lee