Biordered sets of lattices and homogeneous basis
Rings and Algebras
2020-06-04 v1 Group Theory
Abstract
In this paper we discuss the properties of the biordered set obtained from a complemented modular lattice and defines an operation using the sandwich elements of the biordered set. Further we describe a biordered subset satisfying certain conditions, so that the complemented modular lattice admits a homogeneous basis. Finally analogous to von Neumann coordinatization theorem we describe the coordinatization theorem for complemented modular lattice using the biordered set of idempotents.
Keywords
Cite
@article{arxiv.2006.02072,
title = {Biordered sets of lattices and homogeneous basis},
author = {P. G. Romeo and Akhila. R},
journal= {arXiv preprint arXiv:2006.02072},
year = {2020}
}
Comments
10 pages zero figures