[Solomonov Seminar] Fwd: [AI] 248. Solomonov seminar

Mateja Zver mateja.zver at ijs.si
Tue Oct 23 10:58:27 CEST 2012


Starts in few minutes.


-------- Original Message --------
Subject: 	[AI] 248. Solomonov seminar
Date: 	Fri, 19 Oct 2012 13:04:21 +0200
From: 	Marko Grobelnik <marko.grobelnik at ijs.si>
To: 	Solomonov Seminar <solomonov-seminar at ijs.si>, ai at ijs.si, odsek e8 
<e8 at ijs.si>, e9 <e9 at ijs.si>, ct3core at ijs.si

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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