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Network semigroups

We introduce the class of network semigroups. These are based on networks that extend the notion of a directed graph. This class properly contains the class of graph inverse semigroups. We investigate the structure of network semigroups. We show that two network semigroups are isomorphic if and only...

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Bibliographic Details
Date:	2026
Main Authors:	Wang, Yanhui H., Gao, Pei, Ren, Xueming M.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2026
Subjects:	network right \(*\)-abundant semigroups networks graph inverse semigroups 20M10
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2486
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Journal Title:	Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics

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