2 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 -module . We define semiprimitive submodules and we prove that they form an spatial frame canonically isomorphic to the to…
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…