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arXiv · 2209.13805

Abelianness and centrality in inverse semigroups

Michael Kinyon·David Stanovský
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Abstract

We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of the corresponding congruence pairs. We relate centrality to conjugation in inverse semigroups. Subsequently we prove that solvable and nilpotent inverse semigroups are groups.

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Michael Kinyon, David Stanovský. 2022-09-28. Abelianness and centrality in inverse semigroups. https://doi.org/10.1017/s0013091524000816

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