Biordered sets of lattices and homogeneous basis

P. G. Romeo; Akhila. R

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arXiv · 2006.02072

Biordered sets of lattices and homogeneous basis

P. G. Romeo·Akhila. R

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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.

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P. G. Romeo, Akhila. R. 2020-06-03. Biordered sets of lattices and homogeneous basis. https://arxiv.org/abs/2006.02072

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