Title of article
SOME STUDIES ON GZI RINGS
Author/Authors
Qu, Yinchun School of Mathematics - Yangzhou University, China , Wei, Junchao School of Mathematics - Yangzhou University, China
Pages
24
From page
129
To page
152
Abstract
A ring R is called generalized ZI (or GZI for short) if for any
a ∈ N(R) and b ∈ R, ab = 0 implies aRba = 0, which is a proper generalization
of ZI rings. In this paper, many properties of GZI rings are introduced, some
known results are extended. Further, we introduce generalized GZI rings
as a generalization of GZI rings, and quasi-abel rings as a generalization of
generalized GZI rings. Some important results on Abel rings are extended to
generalized GZI rings and quasi-abel rings
Keywords
ZI ring , GZI ring , quasi-abel ring , generalized GZI ring , reduced ring
Journal title
International Electronic Journal of Algebra
Serial Year
2018
Full Text URL
Record number
2600047
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