Semigroup Forum

, Volume 92, Issue 2, pp 361–376 | Cite as

Flat coset decompositions of skew lattices

  • João Pita Costa
  • Karin Cvetko-VahEmail author
Research Article


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.


Decomposition Theorem Triangular Matrice Block Form Left Coset Regular Band 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Institut Jožef StefanLjubljanaSlovenia
  2. 2.Faculty of Mathematics and PhysicsUniversity of LjubljanaLjubljanaSlovenia

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