Data de publicação: Oct 24, 2012 2:41:7 PM
Joao Pita Costa: Parallelogram Laws for Skew Lattices in Rings
19. 11. 2009
Algebra seminar
Faculty of Mathematics and Physics
University of Ljubljana
Abstract: Skew lattices are the most successful generalization of lattices to the noncommutative case to date. Roughly speaking, each skew lattice can be seen as a lattice of rectangular bands. A cosset decomposition can be given to each pair of comparable maximal rectangular bands. The internal structure of skew lattices is revealed by their coset structure. In this talk we study the cosset structure of skew lattices in rings and present certain cosset laws that describe the connections among the coset decompositions given by distinct pairs of maximal rectangular bands.
URL: http://www.fmf.uni-lj.si/si/obvestila/14675/
Keywords: Noncommutative lattice, Skew lattice, Skew lattice in a Ring, Symmetry, Strong symmetry, Cancellation, Coset constants.
The author thanks the support of Fundação para a Ciéncia e Tecnologia with the reference SFRH/BD/36694/2007.