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S-Armendariz模与Quasi S-Armendariz模

On S-Armendariz Modules and Quasi S-Armendariz Modules
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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,从而将文献中的相关结论推广到更一般的情形. 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.
作者 欧阳伦群
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第3期828-834,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(10771058) 湖南省教育厅项目(06A017 07C268)资助
关键词 Armendariz模 QUASI Armendariz模 广义幂级数 Armendariz modules Quasi Armendariz modules Generalized power series
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参考文献15

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