Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 828-834.

• Articles • Previous Articles     Next Articles

On S-Armendariz Modules and Quasi S-Armendariz Modules

 OU Yang-Lun-Qun   

  1. Department of Mathematics, Hunan Science and Technology University, Hunan Xiangtan 411201
  • Received:2008-10-22 Revised:2009-10-23 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(10771058)和湖南省教育厅项目(06A017, 07C268)资助

Abstract:

In this paper, the author introduce the notion of S-Armendariz  modules, which is a natural generalization of Armendariz rings. It is shown that S-Armendariz  modules have some properties similar to those of  Armendariz rings. Consequently, several known results in  [8], [10] and [11] are extended to a general setting.

Key words: Armendariz modules, Quasi Armendariz modules, Generalized power series

CLC Number: 

  • 16S36
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