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arXiv · 1407.2198

Transitive representations of inverse semigroups

Boris M. Schein
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Abstract

While every group is isomorphic to a transitive group of permutations, the analogous property fails for inverse semigroups: not all inverse semigroups are isomorphic to transitive inverse semigroups of one-to-one partial transformations of a set. We describe those inverse semigroups that are.

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Boris M. Schein. 2014-07-08. Transitive representations of inverse semigroups. https://arxiv.org/abs/1407.2198

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