W. Bentz

activity

20122026

most citedThe rank of the semigroup of transformations stabilising a partition of a finite set

26 citations · 48 across the 13 of their papers we have counts for

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Showing 2026 · math.GRShow all

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math.GR2026

Complete Mappings of Semigroups

João Araújo, Wolfram Bentz, Peter J. Cameron +2

A complete mapping of a semigroup $S$ is a bijection $α : S \to S$ such that the map $θ : S \to S$ defined by $x θ = x \cdot xα$ is also a bijection. Equivalently, it determines…

math.GR2026

The Inverse Monoid of Partial Inner Automorphisms of a Semigroup

João Araújo, Wolfram Bentz, Michael Kinyon +2

We introduce the inverse monoid of inner partial automorphisms of a semigroup -- a tool that associates to every semigroup an inverse semigroup. When the semigroup is a group, this…