The Semigroup Structure of LeftClifford Semirings期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Semigroup Structure of LeftClifford Semirings

Authors:	Yu? Qi?Guo author-information" > author-information__contact u-icon-before" > mailto:yqguo@swnu.edu.cn" title=" yqguo@swnu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Kar?Ping?Shum,M.?K.?Sen

Affiliation:	(1) Department of Mathematics, Southwest Normal University, Chongqing, 400715, P. R. China;(2) Department of Mathematics, Chinese University of Hong Kong, Hong Kong, P. R. China;(3) Department of Pure Mathematics, University of Calcutta, Calcutta, 700019, India

Abstract:	Abstract In this paper, we generalize Clifford semirings to left Clifford semirings by means of the so-called band semirings. We also discuss a special case of this kind of semirings, that is, strong distributive lattices of left rings. The research of the first author is partly supported by NSF China # 10071068 The research of the second author is partly supported by a UGC(HK) Grant # 2160126

Keywords:	Left rings Band semirings Distributive lattice congruence Left Clifford semirings
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