Flat coset decompositions of skew lattices

João Pita Costa; Karin Cvetko-Vah

doi:10.1007/s00233-015-9739-8

Flat coset decompositions of skew lattices

João Pita Costa, Karin Cvetko-Vah

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Skew lattices are non-commutative generalizations of lattices, and the cosets are the building blocks of skew lattices. Every skew lattice embeds into a direct product of a left-handed skew lattice and a right-handed skew lattice. It is therefore natural to consider the flat coset decompositions, i.e. decompositions of a skew lattice into right and left cosets. In the present paper we discuss such decompositions, their properties and the relation to the coset laws for cancellative and symmetric skew lattices.

Original language	English
Pages (from-to)	361-376
Number of pages	16
Journal	Semigroup Forum
Volume	92
Issue number	2
DOIs	https://doi.org/10.1007/s00233-015-9739-8
Publication status	Published - 1 Apr 2016

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AB - Skew lattices are non-commutative generalizations of lattices, and the cosets are the building blocks of skew lattices. Every skew lattice embeds into a direct product of a left-handed skew lattice and a right-handed skew lattice. It is therefore natural to consider the flat coset decompositions, i.e. decompositions of a skew lattice into right and left cosets. In the present paper we discuss such decompositions, their properties and the relation to the coset laws for cancellative and symmetric skew lattices.

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Flat coset decompositions of skew lattices

Abstract

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