An example of a quasi-commutative inverse semigroup

Document Type : Research Paper


1 Department of Mathematics, University of Islamic Azad University, South Tehran Branch Tehran, Iran

2 School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland, UK


Constructing concrete examples of certain semigroups could help in implementing algorithms optimized for the users. We give concrete examples of certain finitely presented semigroups, namely $S_{p,n}$. Both computational and theoretical approaches are used for studying their structural properties to show that they are quasi-commutative and inverse semigroups.


Main Subjects

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  • Receive Date: 01 February 2023
  • Revise Date: 13 April 2023
  • Accept Date: 12 May 2023
  • Published Online: 01 March 2024