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arXiv 1409.8334math.OAmath.CO
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关于收缩逆半群的一个注记

A remark on contracting inverse semigroups

Giuliano Boava, Ruy Exel

摘要:

当一个半格的任意两个元素是正交的或可比较的时,称它是树型的。给定一个逆半群S,其幂等元半格是树状的,且所有紧滤子都是超滤子,我们给出了S是收缩的一个充要条件,它比第二作者和E.帕尔多

英文摘要:

A semi-lattice is said to be tree-like when any two of its elements are either orthogonal or comparable. Given an inverse semigroup S whose idempotent semi-lattice is tree-like, and such that all tight filters are ultra-filters, we present a necessary and sufficient condition for S to be contracting which looks closer in spirit to the notion of contracting actions than a recent condition found by the second named author and E. Pardo.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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