Geodesic
Combinatorially Factorizable Cryptic Inverse Semigroups
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 621-630

Voir la notice de l'article provenant de la source Cambridge University Press

An inverse semigroup $S$ is combinatorially factorizable if $S\,=\,TG$ where $T$ is a combinatorial (i.e., $\mathcal{H}$ is the equality relation) inverse subsemigroup of $S$ and $G$ is a subgroup of $S$ . This concept was introduced and studied by Mills, especially in the case when $S$ is cryptic (i.e., $\mathcal{H}$ is a congruence on $S$ ). Her approach is mainly analytical considering subsemigroups of a cryptic inverse semigroup.We start with a combinatorial inverse monoid and a factorizable Clifford monoid and from an action of the former on the latter construct the semigroups in the title. As a special case, we consider semigroups that are direct products of a combinatorial inverse monoid and a group.
DOI : 10.4153/CMB-2014-025-1
Mots-clés : 20M18, inverse semigroup, cryptic semigroup 
Petrich, Mario. Combinatorially Factorizable Cryptic Inverse Semigroups. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 621-630. doi: 10.4153/CMB-2014-025-1
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