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McCoy Property over Prime Radicals.

Authors :
Shehata, Shaimaa. Sh.
Source :
Southeast Asian Bulletin of Mathematics. 2019, Vol. 43 Issue 5, p751-760. 10p.
Publication Year :
2019

Abstract

In this paper we first introduce the notion of McCoy over prime radicals (MPR ring) which is a generalization of Armendariz over prime radicals (APR ring) and McCoy rings. Then we investigate their properties. For a ring R, we prove that the n-by-n upper triangular matrix ring Tn(R) is MPR. The structure and some of extensions of MPR rings will be further studied and investigated. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATRIX rings
*RADICAL theory

Details

Language :
English
ISSN :
01292021
Volume :
43
Issue :
5
Database :
Academic Search Index
Journal :
Southeast Asian Bulletin of Mathematics
Publication Type :
Academic Journal
Accession number :
139577340