6 papers
Galois Connections and Preradicals in Abelian Categories
Rogelio Fernández-Alonso, Janeth Magaña, Martha Lizbeth Shaid Sandoval-Miranda +1
In this paper we define operations of preradicals of any abelian category. We define idempotent preradicals and radicals. We prove that every adjoint pair between abelian categorie…
Differential graded triangular matrix categories
M. Lizbeth Shaid Sandoval Miranda, Valente Santiago Vargas, Edgar O. Velasco Páez
This paper focuses on defining an analog of differential-graded triangular matrix algebra in the context of differential-graded categories. Given two dg-categories an…
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…
On the de Morgan's laws for modules
Mauricio Gabriel Medina Bárcenas, Martha Lizbeth Shaid Sandoval Miranda, Angel Zaldívar
In this investigation, we give a module-theoretic counterpart of the well known Demorgan's laws for rings and topological spaces. We observed that the corresponding like Demorgan's…
Gabriel localization in functor categories
Martin Ortiz-Morales, Martha Lizbeth Shaid Sandoval-Miranda, Valente Santiago-Vargas
P. Gabriel showed that for an unital ring , there exists a bijective correspondence between the set of Gabriel filters of and the set of Giraud subcategories of $\mathrm{Mod…
On strongly harmonic and Gelfand modules
Mauricio Medina-Bárcenas, Lorena Morales-Callejas, Martha Lizbeth Shaid Sandoval-Miranda +1
We introduce the notions of Strongly harmonic and Gelfand module, as a generalization of the well-known ring theoretic case. We prove some properties of these modules and we give a…