Data de publicação: Oct 24, 2012 2:38:30 PM
Joao Pita Costa: On parallelogram laws for skew lattices.
2009.08.17
Novi Sad Algebra Conference
University of Novi Sad
Serbia.
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://sites.dmi.rs/events/2009/nsac2009/abs/Pita%20Costa.pdf
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.