Varieties of relation algebras
type: Item
instance of: scholarly article
title: Varieties of relation algebras
zbMATH Open document ID: 0545.08009
DOI: 10.1007/BF02483728
author: Bjarni Jónsson
published in: Algebra Universalis
publication date: 1982-01-01T00:00:00Z
review text: Relation algebras have been introduced by A. Tarski to mimic the calculus of binary relations on a set. They have proved to be very interesting algebras for many reasons, e.g. set-theory can be interpreted within relation algebras. Moreover relational algebras have quite exceptional structural properties, which are the main theme of this paper. This paper gives an excellent overview on varieties of relation algebras and then works out equational bases for many interesting varieties of relation algebras. An important tool are splitting relation algebras and their splitting equations.
Mathematics Subject Classification ID: 08B05
Mathematics Subject Classification ID: 03C05
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 06E20
Mathematics Subject Classification ID: 03G25
zbMATH DE Number: 3867406
zbMATH Keywords: varieties of relation algebras
zbMATH Keywords: equational bases
zbMATH Keywords: splitting relation algebras
MaRDI profile type: Publication
cites work: Q5789040
cites work: Q5810602
cites work: Representation of Modular Lattices and Of Relation Algebras
cites work: Relation algebras and projective geometries
cites work: Some sufficient conditions for the representability of relation algebras
cites work: Postulates for the calculus of binary relations
cites work: On the calculus of relations
full work available at URL: https://doi.org/10.1007/bf02483728
OpenAlex ID: W1988376188
description: scientific article; zbMATH DE number 3867406