A generalization of quantales with applications to modules and rings
Rings and Algebras
2016-11-01 v3 Category Theory
Abstract
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 -modules. In particular, we give the module counterpart of the well known result that in a commutative ring the set of semiprime ideals, that is, the set of radical ideals is a frame.
Keywords
Cite
@article{arxiv.1511.09169,
title = {A generalization of quantales with applications to modules and rings},
author = {Mauricio Medina Bárcenas and Angel Zaldívar and Martha Lizbeth Shaid Sandoval Miranda},
journal= {arXiv preprint arXiv:1511.09169},
year = {2016}
}
Comments
A correction to many typos and in some examples