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arXiv · 1905.11489

Ranks and presentations of some normally ordered inverse semigroups

Rita Caneco·Vítor H. Fernandes·Teresa M. Quinteiro
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Abstract

In this paper we compute the rank and exhibit a presentation for the monoids of all $P$-stable and $P$-order preserving partial permutations on a finite set $\Omega$, with $P$ an ordered uniform partition of $\Omega$. These (inverse) semigroups constitute a natural class of generators of the pseudovariety of inverse semigroups ${\sf NO}$ of all normally ordered (finite) inverse semigroups.

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Rita Caneco, Vítor H. Fernandes, Teresa M. Quinteiro. 2019-05-27. Ranks and presentations of some normally ordered inverse semigroups. https://arxiv.org/abs/1905.11489

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