Data de publicação: Oct 24, 2012 2:37:51 PM
Joao Pita Costa: On parallelogram laws for skew lattices
16. 4. 2009
Algebra seminar
Faculty of Mathematics and Physics
University of Ljubljana
Abstract: Distributivity and cancellation in skew lattices are independent properties, unlike what happens in commutative lattices. In this talk we are going to present the relations between the varieties of strongly symmetric skew lattices, cacellative skew lattices and symmetric skew lattices. We generalize the parallelogram laws stated earlier for cancellative skew lattices. These will characterize each one of the varieties. Later we will present some combinatoric results that follow from the parallelogram laws.
URL: http://www.fmf.uni-lj.si/en/news/13199/
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.