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Mathematics > Rings and Algebras

arXiv:1406.2510 (math)
[Submitted on 10 Jun 2014 (v1), last revised 27 Jul 2019 (this version, v2)]

Title:Flat Coset Decompositions of Skew Lattices

Authors:Joao Pita Costa, Karin Cvetko-Vah
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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.
Comments: 26 pages
Subjects: Rings and Algebras (math.RA)
MSC classes: 06B75
Cite as: arXiv:1406.2510 [math.RA]
  (or arXiv:1406.2510v2 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.1406.2510
Journal reference: Semigroup Forum 92 (2016)

Submission history

From: Joao Pita Costa [view email]
[v1] Tue, 10 Jun 2014 11:18:16 UTC (24 KB)
[v2] Sat, 27 Jul 2019 20:27:03 UTC (17 KB)
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