节点文献

Extensions of Modules with ACC on d-annihilators

免费订阅

【作者】 Ouyang Lun-qunZhou QiongLiu Jin-wangXiang Yue-ming

【Author】 Ouyang Lun-qun;Zhou Qiong;Liu Jin-wang;Xiang Yue-ming;School of Mathematics, Hunan University of Science and Technology;Department of Mathematics and Applied Mathematics, Huaihua University;

【机构】 School of Mathematics, Hunan University of Science and TechnologyDepartment of Mathematics and Applied Mathematics, Huaihua University

【摘要】 A unitary right R-module MR satisfies acc on d-annihilators if for every sequence(ann of elements of R the ascending chain AnnM(a1)■ AnnM(a1 a2)■AnnM(a1 a2 a3)■… of submodules of MR stabilizes. In this paper we first investigate some triangular matrix extensions of modules with acc on d-annihilators. Then we show that under some additional conditions,the Ore extension module M[x]R[x;α,δ]over the Ore extension ring R[x;α,δ] satisfies acc on d-annihilators if and only if the module MR satisfies acc on d-annihilators. Consequently, several known results regarding modules with acc on d-annihilators are extended to a more general setting.

【基金】 The NSF(11471108) of China;the NSF(2015JJ2051,2016JJ2050) of Hunan Province;the Teaching Reform Foundation(G21316) of Hunan Province
  • 【DOI】10.13447/j.1674-5647.2018.01.03
  • 【分类号】O153.3
  • 【下载频次】14
节点文献中: 

本文链接的文献网络图示:

浏览历史:
下载历史: