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On McCoy modules

  • Cui, Jian ;
  • Chen, Jianlong
  • Received : 2009.04.13
  • Published : 2011.01.31

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

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Cited by

  1. McCoy modules and related modules over commutative rings vol.45, pp.6, 2017, https://doi.org/10.1080/00927872.2016.1233218
  2. Extensions of linearly McCoy rings vol.50, pp.5, 2013, https://doi.org/10.4134/BKMS.2013.50.5.1501
  3. Power-Serieswise McCoy Modules vol.2018, pp.1563-5147, 2018, https://doi.org/10.1155/2018/9860597

Acknowledgement

Supported by : National Natural Science Foundation of China