Mauricio Medina Bárcenas

collaborators

5 papers

math.RA2016

Attaching topological spaces to a module (I): Sobriety and spatial frames of submodules

Mauricio Gabriel Medina Bárcenas, Lorena Morales Callejas, Martha Lizbeth Shaid Sandoval Miranda +1

In this paper we study some frames associated to an $R$ -module $M$ . We define semiprimitive submodules and we prove that they form an spatial frame canonically isomorphic to the to…

math.RA2016

Boyle's Conjecture and perfect localizations

Jaime Castro Pérez, Mauricio Medina Bárcenas, José Ríos Montes +1

In this article we study the behavior of left QI-rings under perfect localizations. We show that a perfect localization of a left QI-ring is a left QI-ring. We prove that Boyle's c…

math.RA2016

Modules with ascending chain condition on annihilators and Goldie modules

Jaime Castro Pérez, Mauricio Medina Bárcenas, José Ríos Montes

Using the concepts of prime module, semiprime module and the concept of ascending chain condition (ACC) on annihilators for an $R$ -module $M$ . We prove that if \ $M$ is semiprime…

math.RA2015

On some operators and dimensions in modular meet-continuous lattices

Mauricio Medina Bárcenas, José Ríos Montes, Angel Zaldívar

Given a complete modular meet-continuous lattice $A$ , an inflator on $A$ is a monotone function $d : A \to A$ such that $a \leq d (a)$ for all $a \in A$ . If $I (A)$ is the se…

math.RA2015

A generalization of quantales with applications to modules and rings

Mauricio Medina Bárcenas, Angel Zaldívar, Martha Lizbeth Shaid Sandoval Miranda

We introduce a lattice structure as a generalization of meet-continuous lattices and quantales. We develop a point-free approach to these new lattices and apply these results to $R…