Duality of normally presented varieties
by
Ivan Chajda
Palacky University Olomouc, Dept. of Algebra and Geometry
Coauthors: Radomir Halas, Aleksandr G. Pinus, Ivo G. Rosenberg

Let V be a variety of the form ISP(Q) where Q is a finite subdirectly irreducible algebra. We show that if V is naturally dualizable (in sense of D.M. Clark and B.A. Davey, i.e. with respect to the discrete topology) then the variety N(V) determined by all normal identities of V (the so called nilpotent shift of V) is also naturally dualizable. We give a finite algebra P and a relational system P ~ , constructed explicitly from the system P ~ for N(V) = ISP(P) and P ~ dualizes P.

Date received: December 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafo-24.