Data de publicação: Oct 24, 2012 2:44:31 PM
Joao Pita Costa: On the coset structure of skew lattices in rings.
2010.05.31
6th Linear Algebra Workshop
Kranjska Gora, Slovenia.
Abstract: Skew lattices are the most successful generalization of lattices to the noncommutative case to date. The study of certain properties of rings of matrices consist of a good motivation for this research. Roughly speaking, each skew lattice is a lattice of rectangular bands. A pair of comparable maximal rectangular bands can be given a coset decomposition. The internal structure of skew lattices is revealed by their coset structure. In the talk we will describe the coset structure of skew lattices in rings and present certain coset laws that describe the connections among the coset decompositions given by distinct pairs of maximal rectangular bands.
URL: http://www.law05.si/law11/abstrakti/pdf/PitaCosta.pdf
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.