Bulletin of the
Korean Mathematical Society
BKMS

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Bull. Korean Math. Soc. 2011; 48(1): 23-33

Printed January 1, 2011

https://doi.org/10.4134/BKMS.2011.48.1.23

Copyright © The Korean Mathematical Society.

On McCoy modules

Jian Cui and Jianlong Chen

Southeast University, Southeast University

Abstract

Extending the notion of McCoy rings, we introduce the class of McCoy modules. Over a given ring $R$, it contains the class of Armendariz modules (over $R$). Some properties of this class of modules are established, and equivalent conditions for McCoy modules are given. Moreover, we study the relationship between a module and its polynomial module. Several known results relating to McCoy rings can be obtained as corollaries of our results.

Keywords: McCoy module, McCoy ring, polynomial module, zip module

MSC numbers: Primary 16N60; Secondary 16P60

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