3 papers
math.AC2026
On the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spaces
Diego Alba Alonso, Javier Sánchez González
The purpose of this article is to study certain binary relations of endomorphisms over infinite dimensional vector spaces defined by GD1 and 1GD generalized inverses. In order to d…
math.AC2026
k[x]-modules and Core-Nilpotent endomorphisms
Diego Alba Alonso, Javier Sánchez González
Core-nilpotent endomorphisms over an arbitrary vector space form the largest subset of the ring of endomorphisms over that arbitrary vector space which admit a decomposition as sum…
math.RA2025
Core partial order for finite potent endomorphisms
Diego Alba Alonso
The aim of this paper is to generalize the Core Inverse to arbitrary vector spaces using finite potent endomorphisms. As an application, the core partial order is studied in the se…