Armendariz and Reduced Rings
Resource
Communications in Algebra 32 (6): 2287-2299
Journal
Communications in Algebra
Journal Volume
32
Journal Issue
6
Pages
2287-2299
Date Issued
2004
Date
2004
Author(s)
Abstract
A ring R is called Armendariz if, whenever (Σj=0 tbjxj) = 0 in R[x], aibj = 0 for all i and j. In this paper, some "relatively maximal" Armendariz subrings of matrix rings are identified, and a necessary and sufficient condition for a trivial extension to be Armendariz is obtained. Consequently, new families of Armendariz rings are presented. Copyright © 2004 by Marcel Dekker, Inc.
Type
journal article
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