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On graph inverse semigroups

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Abstract

We study the relationship between the graph inverse semigroups of two graphs when there is a directed immersion between the graphs and we provide structural information about graph inverse semigroups of finite graphs that admit a directed cover onto a bouquet of circles. We provide a topological characterization of the universal groups of the local submonoids of a graph inverse semigroup. We also find necessary and sufficient conditions for a homomorphic image of a graph inverse semigroup to be another graph inverse semigroup.

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Authors and Affiliations

  1. Department of Mathematics, University of Nebraska, Lincoln, Nebraska, 68588, USA

    John Meakin

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

    Zhengpan Wang

Authors
  1. John Meakin
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  2. Zhengpan Wang
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Correspondence to John Meakin.

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Communicated by Mark V. Lawson.

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Partially supported by Chongqing Natural Science Foundation (cstc2019jcyj-msxmX0435).

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Meakin, J., Wang, Z. On graph inverse semigroups. Semigroup Forum 102, 217–234 (2021). https://doi.org/10.1007/s00233-020-10130-5

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  • DOI: https://doi.org/10.1007/s00233-020-10130-5

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