Annihilator conditions on polynomials over modules.
type: Item
instance of: scholarly article
title: Annihilator conditions on polynomials over modules.
zbMATH Open document ID: 1226.16030
author: Ebrahim Hashemi
published in: Mediterranean Journal of Mathematics
publication date: 2011-06-22T00:00:00Z
review text: Let \(R\) be a ring with unity and \(M\) a right \(R\)-module. In this paper the author defines an action of the nearring \((R[x],+,\circ)\) on the additive group \(M[x]\) of polynomials over \(M\), and tries to study the Baer type annihilator conditions on \(M[x]\). However, the action does not make \(M[x]\) an \(R[x]\)-module since \(R[x]\) is not commutative under the composition operation (even when \(R\) is commutative).
reviewed by: Wen-Fong Ke
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16P60
zbMATH DE Number: 5911436
zbMATH Keywords: annihilator conditions
zbMATH Keywords: polynomials over modules
zbMATH Keywords: polynomial nearrings
MaRDI profile type: Publication
full work available at URL: s00009-010-0078-4
OpenAlex ID: W2069857089
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DOI: 10.1007/S00009-010-0078-4
description: scientific article; zbMATH DE number 5911436