数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 828-834.

• 论文 • 上一篇    下一篇

S-Armendariz 模与Quasi S-Armendariz 模

欧阳伦群   

  1. 湖南科技大学 |数学与计算科学学院 湖南湘潭 411201
  • 收稿日期:2008-10-22 修回日期:2009-10-23 出版日期:2010-05-25 发布日期:2010-05-25
  • 基金资助:

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

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

摘要:

作为对Armendariz 环的推广, 该文引进了S-Armendariz模, 并证明了S-Armendariz模具有许多与Armendariz 环相类似的性质, 从而将文献[8, 10, 11]中的相关结论推广到更一般的情形.

关键词: Armendariz模, Quasi Armendariz模, 广义幂级数

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

中图分类号: 

  • 16S36