Data de publicação: Oct 24, 2012 2:39:46 PM
Joao Pita Costa: On skew lattices.
2009.09.07
Summer School on General Algebra and Ordered Sets
Stara Lesna, Slovakia.
Abstract: Skew lattices are a noncommutative generalization of lattices. In the paper we study the varieties of symmetric, strongly symmetric and cancellative skew lattices, and characterize them in terms of certain laws regarding the coset structure of a skew lattice. As a consequence, combinatorial results connecting powers of D-classes and indices are derived.
URL:http://im.saske.sk/ssaos/talks/monday/Pita_Costa.pdf
Keywords: Noncommutative lattice, Skew lattice, Symmetry, Strong symmetry, Cancellation, Coset.
The author thanks the support of Fundação para a Ciéncia e Tecnologia with the reference SFRH/BD/36694/2007.