Am Freitag, 13.1.2012, hören wir im Rahmen des
"Wiener Algebra-Seminars" zwei Vorträge: 

Um 12:15 spricht 
                    Erhard Aichinger 
                   (Universität Linz) 
über 

      Polynomials and Structure of Universal Algebras


gefolgt um 13:15 von  

                   Gabor Horvath 
                (Debreceni Egyetem) 

mit einem Vortrag über 

The complexity of the equivalence and equation solvability
               over finite algebras

Beide Vorträge finden im
     "kleinen Seminarraum 104" des
      Instituts für Diskrete Mathematik und Geometrie,
      1040 Wien, Wiedner Hauptstrasse 8-10, Turm A, 5.Stock
statt.

Abstracts:

Erhard Aichinger, Polynomials and Structure of Universal Algebras.

In this talk, we will present some results that link the structure of a universal algebra with its clone of polynomial functions. It has recently been proved that for every finite algebra with a Mal'cev term, the clone of polynomial operations and the clone of term operations are both finitely related. This establishes that up to isomorphism and term equivalence, there are only countably many finite algebras with a Mal'cev term; in group theory this yields that for every group G, there exists a subgroup H of some finite power G^k such that for all n, all subgroups of G^n can - in a certain way - be constructed from H. We will compare two concepts of nilpotence for expansions of groups. Starting from the well-known fact that every finite nilpotent group is a direct product of p-groups and Kearnes's generalization to finite nilpotent algebras in congruence modular varieties, we present a decomposition result for certain nilpotent infinite expanded groups.

Gabor Horvath, The complexity of the equivalence and equation solvability over finite algebras.

TBA

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