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Matematicheskie Zametki, 2020, Volume 108, Issue 4, Pages 552–560
DOI: https://doi.org/10.4213/mzm12235 (Mi mzm12235) 		 
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
Full-text PDF (467 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12235
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
English version:
Mathematical Notes, 2020, Volume 108, Issue 4, Pages 550–556
DOI: https://doi.org/10.1134/S0001434620090278
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: K. H. Hovsepyan, “Inverse Subsemigroups of the Bicyclic Semigroup”, Mat. Zametki, 108:4 (2020), 552–560; Math. Notes, 108:4 (2020), 550–556
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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