Coupled right orthosemirings induced by orthomodular lattices
Rings and Algebras
2018-09-26 v1
Abstract
L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings. A similar connection was found for basic algebras and semilattice ordered right near semirings by the authors. The aim of this paper is to derive an analogous connection for orthomodular lattices and certain semilattice ordered near semirings via so-called coupled right orthosemirings.
Keywords
Cite
@article{arxiv.1809.09537,
title = {Coupled right orthosemirings induced by orthomodular lattices},
author = {Ivan Chajda and Helmut Länger},
journal= {arXiv preprint arXiv:1809.09537},
year = {2018}
}