Inverse Subsemigroups of the Bicyclic Semigroup

K. H. Hovsepyan

Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 552-560.

Résumé

In the present paper, a complete description of the inverse subsemigroups of the bicyclic semigroup is given. Isomorphism conditions for two inverse subsemigroups are found. From the inverse subsemigroups under consideration, a category is constructed, and the existence of a functor from this category to the category of finite ordered sets of numbers is proved.

Détail

Keywords: bicyclic semigroup, inverse subsemigroup, bicyclicity component, category.

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