[Solomonov Seminar] 248. Solomonov seminar

Marko Grobelnik marko.grobelnik at ijs.si
Fri Oct 19 13:04:21 CEST 2012

V torek, 23. septembra bo ob 11h v Oranzni predavalnici IJS (drugo 
nadstropje glavne stavbe) 248. Solomonov seminar. Posnetki preteklih 
seminarjev so na http://videolectures.net/solomon/

Tokrat bo nas sodelavec João Pita Costa predstavil svoje dosedanje delo.

João Pita Costa, IJS:

The study of noncommutative lattices began in 1949 with Pascual Jordan, 
motivated by questions on Quantum Logic. Skew lattices have been the 
most successful variation of noncommutative lattices. Jonathan Leech 
studied a more general version of these algebras and was later 
interested in their Boolean version termed skew Boolean algebras. The 
left-handed version of that case includes the class of Boolean skew 
algebras earlier studied by W.D. Cornish. R.J. Bignall, following ideas 
of Keimal and Werner, observed a subclass of skew Boolean algebras 
constitutes a decidable discriminator variety. In collaboration with J. 
Leech, R. Veroff, R.J. Bignall and M. Spinks have studied general 
properties of these algebras and used them in the study of multiple 
valued logic. A special attention has been always devoted to skew 
lattices in rings, that constitute a large class of examples, where 
Karin Cvetko-Vah and JPC answered several open questions. Today the 
classical dualities as Stone’s and Priestley’s are a focus of research 
in this context, where several relevant results have been achieved.

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