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Showing papers on "Bicyclic semigroup published in 2020"



Journal ArticleDOI
TL;DR: In this article, a complete description of the inverse subsemigroups of the bicyclic semigroup is given, and a category is constructed, and the existence of a functor from this category to the category of finite ordered sets of numbers is proved.
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.

2 citations


Journal ArticleDOI
TL;DR: The authors give necessary and sufficient conditions in order that lower bounded HNN-extensions of inverse semigroups and HNNs of finite inverseSemigroups are completely semisimple semig groups.
Abstract: We give necessary and sufficient conditions in order that lower bounded HNN-extensions of inverse semigroups and HNN-extensions of finite inverse semigroups are completely semisimple semigroups. Si...

1 citations