Data de publicação: Oct 24, 2012 2:48:44 PM
João Pita Costa: Coset laws for distributivity.
2012.03.14
Algebra seminar
Faculty of Mathematics and Physics
University of Ljubljana
In the latest developments in the theory of skew lattices, the study of distributivity has been one of the main topics. Furthermore, the largest classes of examples of such algebras are distributive. Unlike what happens in lattices, the properties of cancellation and distributivity are independent for skew lattices. In the past two years a group of mathematicians have worked on this topic (namely K. Cvetko-Vah, J. Leech, M. Spinks and M. Kinyon). In this talk we will discuss several aspects of distributivity in the absence of commutativity, review the recent results by Kinyon and Leech on these matters and have an insight on the coset structure of those algebras that satisfy this property.
URL: http://www.fmf.uni-lj.si/si/obvestila/22000/
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.