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Vortrag auf einer Tagung (nicht referiert)

On the relational degree of a clone

Details

Zusammenfassung: In 2011, Davey, Jackson, Pitkethly and Szab\'o defined the \emph{relational degree} of an algebra as the smallest $d \in \mathbb{N}_0$ such that the clone of term functions is determined by its at most $d$-ary invariant relations (when such a $d$ exists). We will state a preservation property that yields the following consequence: "Let $\mathbf{A}$ be a finite algebra of finite type with edge term that generates a residually small variety. Then there is a $k \in \mathbb{N}$ such that every algebra in this variety is of relational degree at most $k$." We will also investigate countably infinite algebras and obtain that a clone with quasigroup operations on a countable set is either locally closed, or its local closure is uncountable.

Tagungstitel: AAA91 - 91st workshop on general algebra
Vortragsdatum: 06.02.2016
Web: http://ameql.math.muni.cz/AAA91/ (AAA91 at Brno)
Land: Tschechische Republik
Ort: Brno

Beteiligte

ReferentInnen: Assoz.Univprof. DI Dr. Erhard Aichinger

Forschungseinheiten der JKU:

Wissenschaftszweige: 101 Mathematik | 101001 Algebra | 101005 Computeralgebra | 101013 Mathematische Logik | 102031 Theoretische Informatik

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