Regularity of semigroup rings |
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| Authors: | Fang Li |
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| Institution: | (1) Department of Mathematics & Mechanics, Southeast University, Nanjing, 210096 Jiangsu, P.R. China |
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| Abstract: | Sufficient conditions are obtained in order that the semigroup rings of some semigroups be regular. For some inverse, orthodox
and completely simple semigroups, the necessary and sufficient conditions for the regularity of the semigroup rings are found.
The author wishes to thank Prof. Y. Q. Guo for his best help and advice. Key Words and Phrases: (von Neumann) regularity,
semigroup ring, inverse semigroup, orthodox semigroup, completely 0-] simple semigroup. |
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