Ambroise Grau

collaborators

2 papers

math.GR2026

The endomorphism tower of a finite symmetric group

Victoria Gould, Ambroise Grau, Marianne Johnson +1

We consider the endomorphism tower of a monoid $M$ , that is, the sequence of monoids End $_{i} (M)$ where End $_{0} (M) = M$ and for all $i \geq 1$ , End $_{i} (M)$ is the monoid of all endomorphi…

math.RA2024

Translational hulls of semigroups of endomorphisms of an algebra

Victoria Gould, Ambroise Grau, Marianne Johnson +1

We consider the translational hull $Ω (I)$ of an arbitrary subsemigroup $I$ of an endomorphism monoid $End (A)$ where $A$ is a universal algebra. We give conditions for ever…