Mauricio Medina-B'arcenas

activity

20192024

collaborators

6 papers

math.RA2024

A point-free version of torsionfree classes and the Goldie torsion theory

Mauricio Medina-Bárcenas, Martha Lizbeth Shaid Sandoval-Miranda, Ángel Zaldívar-Corichi

Torsion theories are a pinnacle in the theory of abelian categories. They are a generalization of torsion abelian groups and in this generalization one of the most studied is that…

math.CT2023

$m$ -Endoregular lattices

Mauricio Medina-Bárcenas, Hugo Rincón-Mejía

In a previous work, (dual)- $m$ -Rickart lattices were studied. Now, in this paper, we introduce $m$ -endoregular lattices as those lattices $L$ such t…

math.RA2022

Reduced rank in $σ [M]$

John A. Beachy, Mauricio Medina-Bárcenas

Using the concept of prime submodule introduced by Raggi et.al. we extend the notion of reduced rank to the module-theoretic context of $σ [M]$ . We study the quotient category of $σ…

math.RA2021

The nilpotency of the prime radical of a Goldie module

John A. Beachy, Mauricio Medina-Bárcenas

With the notion of prime submodule defined by F. Raggi et.al. we prove that the intersection of all prime submodules of a Goldie module $M$ , is a nilpotent submodule provided that…

math.RA2021

Finite $Σ$ -Rickart modules

Gangyong Lee, Mauricio Medina-Bárcenas

In this article, we study the notion of a finite $Σ$ -Rickart module, as a module theoretic analogue of a right semi-hereditary ring. A module $M$ is called \emph{finite $Σ$ -Rickart…

math.RA2019

Abelian Endoregular Modules

Mauricio Medina-Bárcenas, Hanna Sim

In this paper, we introduce the notion of abelian endoregular modules as those modules whose endomorphism rings are abelian von Neumann regular. We characterize an abelian endoregu…