Geodesic
Inverse Subsemigroups of the Bicyclic Semigroup
Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 552-560

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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.
Keywords: bicyclic semigroup, inverse subsemigroup, bicyclicity component, category. 
@article{MZM_2020_108_4_a6,
     author = {K. H. Hovsepyan},
     title = {Inverse {Subsemigroups} of the {Bicyclic} {Semigroup}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {552--560},
     publisher = {mathdoc},
     volume = {108},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a6/}
}
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K. H. Hovsepyan. Inverse Subsemigroups of the Bicyclic Semigroup. Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 552-560. http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a6/