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Bibliographic Details
Main Authors: Wang, Yanhui, Gao, Pei, Ren, Xueming
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.14897
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Table of Contents:
  • 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.