关于收缩逆半群的一个注记
A remark on contracting inverse semigroups
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。