Minimal algebras and category equivalences
type: Item
instance of: scholarly article
title: Minimal algebras and category equivalences
zbMATH Open document ID: 0747.08010
author: Klaus Denecke
published in: Beiträge zur Algebra und Geometrie
publication date: 1992-06-26T00:00:00Z
full work available at URL: https://eudml.org/doc/138479
review text: Tame congruence theory [\textit{R. McKenzie} and \textit{D. Hobby}: The structure of finite algebra (Contemp. Math. 76) (1988; Zbl 0721.08001)] distinguishes five types of minimal algebras. Three of them are two- element algebras. Two-element algebras and the varieties they generate have various interesting properties. The five types of minimal algebras create a new classification of two-element algebras, or, equivalently, of all clones of Boolean functions. Both approaches try to reduce the structure of finite algebras and locally finite varieties to simpler algebras and varieties they generate. The paper considers interconnections between these approaches.
Mathematics Subject Classification ID: 08C05
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 08B99
zbMATH DE Number: 21347
zbMATH Keywords: Tame congruence theory
zbMATH Keywords: minimal algebras
zbMATH Keywords: two-element algebras
zbMATH Keywords: clones of Boolean functions
zbMATH Keywords: finite algebras
zbMATH Keywords: locally finite varieties
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 21347