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This article is cited in 1 scientific paper (total in 1 paper)
Inverse Subsemigroups of the Bicyclic Semigroup
K. H. Hovsepyanab a Ijevan Branch of Yerevan State University
b Kazan State Power Engineering University
Abstract:
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.
Received: 27.10.2018 Revised: 16.10.2019
Citation:
K. H. Hovsepyan, “Inverse Subsemigroups of the Bicyclic Semigroup”, Mat. Zametki, 108:4 (2020), 552–560; Math. Notes, 108:4 (2020), 550–556
Linking options:
https://www.mathnet.ru/eng/mzm12235https://doi.org/10.4213/mzm12235 https://www.mathnet.ru/eng/mzm/v108/i4/p552
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