Data de publicação: Oct 24, 2012 2:45:57 PM
Joao Pita Costa: On Skew Ideals.
2011.02.21
Algebra seminar
Faculty of Mathematics and Physics
University of Ljubljana
Abstract: Due to their nice properties, ideals have an important role both in Lattice Theory and Semigroup Theory which are the main motivations for the study of skew lattices (double regular bands of semigroups satisfying certain absorption laws). In this talk we present the ideals and filters of skew lattices and the intersections of the theory with the coset structure of a skew lattice. Our motivation is due to their important role in the study of Skew Boolean Algebras where ideals are closely related with congruences.
URL: http://www.fmf.uni-lj.si/si/obvestila/18310/
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.