Data de publicação: Oct 24, 2012 2:45:4 PM
Joao Pita Costa: On the coset structure of skew lattices.
2010.10.14
Algebra 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 paper we will revisit another approach to these algebras, namely the study of its coset structure, and relate the coset category derived from it with the poset category and lattice image of the respective skew lattice.
URL: http://www.fmf.uni-lj.si/si/obvestila/17316/
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.