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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 , an inflator on is a monotone function such that for all . If 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…
math.RA2015
A Note on Gabriel dimension for idioms
Angel Zaldívar
The aim of this note is to illustrate that the definition and construction of the Gabriel dimension for modular lattices in the classical sense is the same as the module case follo…