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math.GR2023★ 1 cited
Counting monogenic monoids and inverse monoids
L. Elliott, A. Levine, J. D. Mitchell
In this short note, we show that the number of monogenic submonoids of the full transformation monoid of degree for , equals the sum of the number of cyclic subgroups of…
math.RA2023
Computing finite index congruences of finitely presented semigroups and monoids
Marina Anagnostopoulou-Merkouri, Reinis Cirpons, James D. Mitchell +1
In this paper, we describe an algorithm for computing the left, right, or 2-sided congruences of a finitely presented semigroup or monoid with finitely many classes, and an alterna…