On the coset structure of a skew lattice
Rings and Algebras
2014-02-03 v1
Abstract
The class of skew lattices can be seen as an algebraic category. It models an algebraic theory in the category of Sets where the Green's relation D is a congruence describing an adjunction to the category of Lattices. In this paper we will discuss the relevance of this approach, revisit some known decompositions and relate the order structure of a skew lattice with its coset structure that describes the internal coset decomposition of the respective algebra.
Keywords
Cite
@article{arxiv.1302.3519,
title = {On the coset structure of a skew lattice},
author = {Joao Pita Costa},
journal= {arXiv preprint arXiv:1302.3519},
year = {2014}
}
Comments
Demonstratio Mathematica Vol. XLIV No. 4 (2011)