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Zeitschriftenartikel:

P. Gillibert:
"Finite Affine Algebras are Fully Dualizable";
Communications in Algebra, 07 (2017), S. 1 - 15.



Kurzfassung englisch:
We show that every finite affine algebra A admits a full duality. In the process, we prove that A also allows a strong duality, and that the duality may be induced by a dualizing structure A ∼
A∼
of finite type. We give an explicit bound on the arities of the partial and total operations appearing in A ∼
A∼
. In addition, we show that the enriched partial hom-clone of A is finitely generated as a clone.

Schlagworte:
Abelian Algebra, Affine Algebra, Dualizable Algebra, Natural Duality, Strong Duality


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1080/00927872.2017


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.