3 papers · 1 filter
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…
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…