Quantales and their modules: projective objects, ideals, and congruences
Logic
2017-06-20 v1 Rings and Algebras
Abstract
In this paper we characterize the projective modules over an arbitrary quantale, and then we apply such a characterization in order to define the K_0 group of a quantale. Then we study congruences of quantales and quantale modules by means of their ideals and of saturated elements w.r.t. a binary relation.
Keywords
Cite
@article{arxiv.1706.00135,
title = {Quantales and their modules: projective objects, ideals, and congruences},
author = {Ciro Russo},
journal= {arXiv preprint arXiv:1706.00135},
year = {2017}
}