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Partial kernel normal systems in regular semigroups
Authors:Yong He
Institution:(1) Department of Mathematics Xiangtan Normal University Xiangtan, Hunan 411201 People's Republic of China, CN;(2) Department of Mathematics Zhongshan University Guangzhou, Guangdong 510275 People's Republic of China, CN
Abstract:\noindent Let P be an arbitrary full subset of the set E(S) of the idempotents in a regular semigroup S . We shall prove that each congruence on S is completely determined by its partial kernel normal system linking to P and give the kernel normal systems in regular semigroups an abstract characterization. January 19, 1998
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