Generators and relations for the semigroups of increasing functions on \(\mathbb{N}\) and \(\mathbb{Z}\)

The semigroups of all increasing functions over \(\mathbb{N}\) and  \(\mathbb{Z}\)  are considered. It is shown that both these semigroups do not admit an irreducible system of generators. In their subsemigroups of cofinite functions all irreducible systems of generators are described. The last semi...

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Bibliographic Details
Date:2018
Main Author: Doroshenko, Vadym
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/941
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics