节点文献

J-clean and Strongly J-clean Rings

免费订阅

【作者】 XIANG YUE-MINGOUYANG LUN-QUN

【Author】 XIANG YUE-MING;OUYANG LUN-QUN;School of Mathematics and Computational Science, Huaihua University;Department of Mathematics, Hunan University of Science and Technology;

【机构】 School of Mathematics and Computational Science, Huaihua UniversityDepartment of Mathematics, Hunan University of Science and Technology

【摘要】 Let R be a ring and J(R) the Jacobson radical. An element a of R is called(strongly) J-clean if there is an idempotent e ∈ R and w ∈ J(R) such that a = e + w(and ew = we). The ring R is called a(strongly) J-clean ring provided that every one of its elements is(strongly) J-clean. We discuss, in the present paper,some properties of J-clean rings and strongly J-clean rings. Moreover, we investigate J-cleanness and strongly J-cleanness of generalized matrix rings. Some known results are also extended.

【基金】 The NSF(2016JJ2050)of Hunan Province
  • 【DOI】10.13447/j.1674-5647.2018.03.06
  • 【分类号】O153.3
  • 【下载频次】13
节点文献中: 

本文链接的文献网络图示:

浏览历史:
下载历史: