JP Journal of Algebra, Number Theory and Applications
Volume 44, Issue 1, Pages 1 - 14
(October 2019) http://dx.doi.org/10.17654/NT044010001 |
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ON WEAK ARMENDARIZ MODULES
Nazeer Ansari and Kh. Herachandra Singh
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Abstract: In this paper, we introduce the notion of weak Armendariz module as a generalization of the notion of an Armendariz module and investigate properties of such modules. We prove that if M is a torsion-free module over a domain R, then for any n, is a weak Armendariz module over We also show that finite direct products of weak Armendariz modules are weak Armendariz. Examples of weak Armendariz modules which are not Armendariz are given. |
Keywords and phrases: Armendariz rings, weak Armendariz ring, Armendariz module, weak Armendariz module.
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