Amenability of inverse semigroups and their semigroup algebras
Amenability of inverse semigroups and their semigroup algebras
复制标题
逆半群及其半群代数的适用性
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
I. Namioka
中科院分区：
文献类型：
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作者：
J. Duncan;I. Namioka
短句来源如果G是群，则当且仅当群代数l1(G)作为代数可服从，则G作为半群可服从。本文研究了逆半群S的这两个可调性概念之间的关系。当S的幂等元素的集合Es是有限的情况下，可以给出一个完全的答案。得到了具有无穷Es的逆半群S的部分结果。
Synopsis If G is a group, then G is amenable as a semigroup if and only if l1(G), the group algebra, is amenable as an algebra. In this note, we investigate the relationship between these two notions of amenability for inverse semigroups S. A complete answer can be given in the case where the set Es of idempotent elements of S is finite. Some partial results are obtained for inverse semigroups S with infinite Es.