Flat Coset Decompositions of Skew Lattices
Rings and Algebras
2019-07-30 v2
Abstract
Skew lattices are non-commutative generalizations of lattices, and the cosets represent the building blocks that skew lattices are built of. As by Leech's Second Decomposition Theorem any skew lattice embeds into a direct product of a left-handed skew lattice by a right-handed one, it is natural to consider the so called flat coset decompositions, i.e. decompositions of a skew lattice into right and left cosets, thus finding the smallest atoms that compose the structure.
Keywords
Cite
@article{arxiv.1406.2510,
title = {Flat Coset Decompositions of Skew Lattices},
author = {Joao Pita Costa and Karin Cvetko-Vah},
journal= {arXiv preprint arXiv:1406.2510},
year = {2019}
}
Comments
26 pages