J-Clean and Strongly J-Clean Rings
Year: 2018
Author: Yueming Xiang, Lunqun Ouyang
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 241–252
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.03.06
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 241–252
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: J-clean ring strongly J-clean ring generalized matrix ring
Author Details
Yueming Xiang Email
Lunqun Ouyang Email