Strong and full dualisability: three-element unary algebras
نویسندگان
چکیده
منابع مشابه
The Complexity of Dualisability: Three-Element Unary Algebras
Perhaps the most fundamental problem in the theory of natural dualities is the dualisability problem: deciding exactly which finite algebras generate a quasivariety that admits a natural duality. One of the goals of this paper is to demonstrate the difficulty of this problem. To do this, we solve the dualisability problem restricted to a class of apparently very simple algebras: three-element u...
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Khoussainov, B. Recursive “nary algebras and trees, Annals of Pure and Applied Logic 67 (1994) 213-268. A unary algebra is an algebraic system d = (A,f,, ,L). wheref,, . ,fm are unary operations on A and n EW. In the paper we develop the theory ofeffective “nary algebras. We investigate well-known questions of constructive (recursive) model theory with respect to the class of unary algebras. In...
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A full duality gives us a natural dual equivalence between a quasi-variety generated by a finite algebra and a class of structured topological spaces. There are many well-known examples of full dualities: Stone’s duality for Boolean algebras [12], Priestley’s duality for distributive lattices [11], and the Hofmann, Mislove, Stralka duality for semilattices [6]. A finite algebra M is called full...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2002
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700008806