Buchumschlag

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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Datum:2026
Hauptverfasser: Wang, Yanhui H., Gao, Pei, Ren, Xueming M.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2026
Schlagworte:
network right \(*\)-abundant semigroups
networks
graph inverse semigroups
20M10
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2486
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Назва журналу:Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung: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 if the underlying networks are isomorphic.
DOI:10.12958/adm2486

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