5 papers · 1 filter
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…
A Transversal Property for Permutation Groups Motivated by Partial Transformations
João Araújo, João Pedro Araújo, Wolfram Bentz +2
In this paper we introduce the definition of -universal transversal property, which is a refinement of the definition of -universal transversal property, which in turn is…
Primitive Permutation Groups and Strongly Factorizable Transformation Semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron
Let be a finite set and be the full transformation monoid on . The rank of a transformation is the natural number . Given , denote…
The existential transversal property: a generalization of homogeneity and its impact on semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron
Let be a permutation group of degree , and a positive integer with . We say that has the -existential property, or -et for short, if there exists a …
Congruences on Direct Products of Transformation and Matrix Monoids
João Araújo, Wolfram Bentz, Gracinda Gomes
Malcev described the congruences of the monoid of all full transformations on a finite set . Since then, congruences have been characterized in various ot…