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.

中文翻译：

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过滤细菌：与逆半群相关的类群

我们研究了与零的任意逆半群相关的各种群。我们证明了关于自然偏序的滤波器群与由逆半群在幂等滤波器空间上的标准作用产生的细菌群同构。我们还研究了这种同构对紧滤器群和超滤器群的限制。