Ambroise Grau

activity

20222026

most citedThe semigroup of endomorphisms with restricted range of an independence algebra

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 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…

math.RA2023

The structure of End( $T_{n}$ )

Victoria Gould, Ambroise Grau, Marianne Johnson

The full transformation semigroups $T_{n}$ , where $n \in N$ , consisting of all maps from a set of cardinality $n$ to itself, are arguably the most important family…

math.RA2022★ 2 cited

The semigroup of endomorphisms with restricted range of an independence algebra