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http://dx.doi.org/10.5666/KMJ.2011.51.1.037

Zero-divisors of Semigroup Modules  

Nasehpour, Peyman (Universitat Osnabruck, FB Mathematik/Informatik)
Publication Information
Kyungpook Mathematical Journal / v.51, no.1, 2011 , pp. 37-42 More about this Journal
Abstract
Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A).
Keywords
Dedekind-Mertens Lemma; Semigroup modules; Few zero-divisors; Property (A); McCoy's property; Primal modules;
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