Dualities and equivalences for varieties of algebras. (English) Zbl 0532.08003

Davey, Brian A.; Werner, Heinrich

Contributions to lattice theory, Szeged/Hung. 1980, Colloq. Math. Soc. János Bolyai 33, 101-275 (1983).

[For the entire collection see Zbl 0514.00010.]
For a review of the preprint version of this article [Prepr., Math. Schr., Kassel 17/80 (1980)] see Zbl 0503.08011.

MSC:

08C15	Quasivarieties
08A40	Operations and polynomials in algebraic structures, primal algebras
18B30	Categories of topological spaces and continuous mappings (MSC2010)
55U30	Duality in applied homological algebra and category theory (aspects of algebraic topology)
16D90	Module categories in associative algebras

Keywords:

duality theory; representation as algebra of continuous morphisms; topological relational structure; finite algebra; prevariety; adjoint contravariant functors; proto-duality; full duality; partial operations; interpolation condition; finite support condition; term function; unanimity term function; Morita duality; Stone duality; primal algebras; Priestley duality

Citations:

Zbl 0514.00010; Zbl 0503.08011