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.