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arXiv · 2411.14897

Network right * abundant semigroups

Yanhui Wang·Pei Gao·Xueming Ren
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Abstract

We introduce the class of network right $*$-abundant 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 right $*$-abundant semigroups. We show that two network right $*$-abundant semigroups are isomorphic if and only if the underlying networks are isomorphic.

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Yanhui Wang, Pei Gao, Xueming Ren. 2024-11-22. Network right * abundant semigroups. https://arxiv.org/abs/2411.14897

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