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.
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