On the de Morgan's laws for modules
Rings and Algebras
2020-03-13 v1
Abstract
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 laws on a module holds precisely when the module has a certain kind of structure. Besides the considerations of Demorgan's laws for ordered structures (idiomatic-quantales) the manuscript goes back to the ring theoretic realm, in this case, we study the non-commutative counterpart of Dedekind domains this consideration leads to the concept of Asano prime ring.
Keywords
Cite
@article{arxiv.2003.05607,
title = {On the de Morgan's laws for modules},
author = {Mauricio Gabriel Medina Bárcenas and Martha Lizbeth Shaid Sandoval Miranda and Angel Zaldívar},
journal= {arXiv preprint arXiv:2003.05607},
year = {2020}
}