Network semigroups

Yanhui H. Wang, Pei Gao, Xueming M. Ren

Abstract


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.

Keywords


network right \(*\)-abundant semigroups, networks, graph inverse semigroups

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DOI: http://dx.doi.org/10.12958/adm2486

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