论文标题

过滤细菌:与逆半群相关的组素

Filtering germs: Groupoids associated to inverse semigroups

论文作者

Armstrong, Becky, Clark, Lisa Orloff, Huef, Astrid an, Jones, Malcolm, Lin, Ying-Fen

论文摘要

我们研究了与任意逆半群相关的各种类固醇,零。我们表明,相对于自然部分顺序的过滤器的类固醇是由反向半群在iDempotent过滤器空间的标准作用引起的细菌的同构。我们还研究了这种同构对紧密过滤器的群体和超滤器组的限制。

We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphic to the groupoid of germs arising from the standard action of the inverse semigroup on the space of idempotent filters. We also investigate the restriction of this isomorphism to the groupoid of tight filters and to the groupoid of ultrafilters.

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