http://www.fmf.uni-lj.si/si/obvestila/24530/
Datum objave: 19. 10. 2012
Vir: Seminar za algebro
Sreda, 24. oktobra 2012, ob 10. uri v Plemljevem seminarju, Jadranska 19/III, Ljubljana
The foundations of the study of the coset structure of skew lattices were
settled in 1993 by J. Leech that referred to this as the global geometry of
such algebras. This approach has been quite successful on the recent past,
decomposing a skew lattice into D-classes and relating partitions that
these induce on each other. Such a decomposition has permitted a deeper
insight into the generalization of distributivity for such algebras. As
skew lattices can be seen as double regular bands, Kimura's decomposition
holds in this theory and so does an analogous decomposition of the coset
structure of a skew lattice. In this talk we will discuss several aspects
of this topic and present some of its combinatorial implications.