Showing math.RAShow all
2 papers · 1 filter
math.RA2026
Automorphism groups of direct products of multiplicative monoids of certain rings
Joseph Atalaye, Liam Baker, Sophie Marques
In this paper, we establish a rigidity result for automorphisms of multiplicative direct products of -rings which are total ring of fraction that have pairwise distinct cardinal…
math.RA2025
On the automorphism group of the monoid of the integers modulo a prime power
Joseph Atalaye, Liam Baker, Sophie Marques
This paper determines the structure of the automorphism group of the unit group \((U_{p^e}, \cdot)\) and the monoid \((\mathbb{Z}/p^e \mathbb{Z}, \cdot)\). For \( e \geq 5 \), we e…