MVW-rigs
Rings and Algebras
2017-09-22 v2 Logic
Abstract
In this paper, a new algebraic structure is defined, which is a new MV-algebra that has a product operation, we will call it MVW-rig (Multivalued-weak rig). This structure is defined with universal algebra axioms, it is presented with a good amount of natural examples in the MV-algebra environment and the first results having to do with ideal, quotients, homomorphisms and subdirect product are established. In particular, its prime spectrum is studied, that with the co-Zariski topology it is compact. Consequently, a good number of results that are analogous to the theory of commutative rings and rigs are presented with which this theory keeps a close relationship to.
Cite
@article{arxiv.1705.04731,
title = {MVW-rigs},
author = {Yuri A. Poveda and Alejandro Estrada},
journal= {arXiv preprint arXiv:1705.04731},
year = {2017}
}
Comments
in English