Data de publicação: Oct 24, 2012 2:46:27 PM
João Pita Costa: A categorical approach to skew lattices
2011.04.11
Discrete Mathematics and Theoretical Computing seminar
Faculty of Mathematics and Physics
University of Ljubljana
Abstract: The class of skew lattices can be seen as an algebraic category. It models an algebraic theory in the category of Sets where the Green's relation D is a congruence describing an adjunction to the category of Lattices. In this talk we will discuss the relevance of this approach, revisit some known decompositions and relate the order structure of a skew lattice with its coset structure that describes the internal coset decomposition of the respective skew lattice. This gives rise to several categories that shall open relevant problems in the theory.
URL: http://www.fmf.uni-lj.si/si/obvestila/19167/
Keywords: Noncommutative lattice, Skew lattice, Symmetry, Strong symmetry, Cancellation, Coset, Index
The author thanks the support of Fundação para a Ciéncia e Tecnologia with the reference SFRH/BD/36694/2007.