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The Semigroup Structure of Left Clifford Semirings |
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| Authors: | |
| Institution: | (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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