Maximal Subsemigroups containing a particular semigroup
Jorg Koppitz, Tiwadee Musunthia
TL;DR
This paper investigates the structure of maximal subsemigroups within the monoid of all transformations on an infinite set, focusing on those containing a specific subsemigroup generated by a particular set.
Contribution
It extends previous work by characterizing maximal subsemigroups of T(X) that include a given subsemigroup W generated by a set U, on an infinite set.
Findings
Characterization of maximal subsemigroups containing W
Identification of generators for T(X) modulo W
Extension of existing theories on infinite transformation monoids
Abstract
We study maximal subsemigroups of the monoid T(X) of all full transformations on the set X=N of natural numbers containing a given subsemigroup W of T(X) where each element of a given set is a generator of T(X) modulo W. This note continue the study of maximal subsemigroups on the monoid of all full transformations on a infinite set.
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Taxonomy
Topicssemigroups and automata theory · Geometric and Algebraic Topology · Computability, Logic, AI Algorithms