On the weak regularity of semigroup rings |
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Authors: | Fang Li |
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Institution: | (1) Department of Mathematics & Mechanics, Southeast University, 210018 Nanjing, Jiangsu, P. R. China |
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Abstract: | Sufficient conditions are obtained under which the semigroup ring of a semigroup, in particular, of an inverse semigroup, is weakly regular. For some inverse semigroups and some orthodox semigroups, the necessary and sufficient conditions for the weak regularity of the semigroup rings are found. A problem is mentioned especially which is much more difficult for weak regularity than for regularity. Only a partial solution of this problem is given for weak regularity. |
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