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math.GR2023
Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth
João Araújo, Wolfram Bentz, Michael Kinyon +3
We study conjugacy relations on semigroups and monoids, focusing on the relation $a \cfn b$, defined by the existence of such that , , , an…
math.GR2022
Varieties of Lazy Magmas Characterized by Forbidden Substructure Theorems
João Araújo, Fernando Maia Ferreira, Michael Kinyon
A magma (or groupoid) is a set with a binary operation . Roughly speaking, a magma is said to be lazy if compositions such as depend on at most two variab…
math.GR2022
CREAM: a Package to Compute [Auto, Endo, Iso, Mono, Epi]-morphisms, Congruences, Divisors and More for Algebras of Type
João Araújo, Rui Barradas Pereira, Wolfram Bentz +4
The CREAM GAP package computes automorphisms, congruences, endomorphisms and subalgebras of algebras with an arbitrary number of binary and unary operations; it also decides if bet…