Minimal relation algebras
type: Item
instance of: scholarly article
title: Minimal relation algebras
zbMATH Open document ID: 0815.03040
DOI: 10.1007/BF01191538
author: Erzsébet Lukács
author: Peter Jipsen
published in: Algebra Universalis
publication date: 1995-07-02T00:00:00Z
review text: The authors deal with the covers of the atoms in the lattice of varieties of relation algebras. They establish that there exist precisely three minimal relation algebras that are totally symmetric. The results are connected with computer-assisted developments of relation algebras. The authors ask whether there are other infinite minimal simple relation algebras.
Mathematics Subject Classification ID: 03G15
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 679602
zbMATH Keywords: Schröder categories
zbMATH Keywords: lattice of varieties
zbMATH Keywords: relation algebras
reviewed by: Albert A. Mullin
MaRDI profile type: Publication
cites work: The lattice of varieties of representable relation algebras
cites work: Varieties of relation algebras
cites work: Relation algebras and Schröder categories
cites work: Necessary subalgebras of simple nonintegral semiassociative relation algebras
cites work: Q3235345
full work available at URL: https://doi.org/10.1007/bf01191538
OpenAlex ID: W2011311252
description: scientific article; zbMATH DE number 679602