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September 2011 Weak representations of relation algebras and relational bases
Robin Hirsch, Ian Hodkinson, Roger D. Maddux
J. Symbolic Logic 76(3): 870-882 (September 2011). DOI: 10.2178/jsl/1309952524

Abstract

It is known that for all finite n ≥ 5, there are relation algebras with n-dimensional relational bases but no weak representations. We prove that conversely, there are finite weakly representable relation algebras with no n-dimensional relational bases. In symbols: neither of the classes RAn and wRRA contains the other.

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Robin Hirsch. Ian Hodkinson. Roger D. Maddux. "Weak representations of relation algebras and relational bases." J. Symbolic Logic 76 (3) 870 - 882, September 2011. https://doi.org/10.2178/jsl/1309952524

Information

Published: September 2011
First available in Project Euclid: 6 July 2011

zbMATH: 1260.03112
MathSciNet: MR2849249
Digital Object Identifier: 10.2178/jsl/1309952524

Subjects:
Primary: 03G15

Rights: Copyright © 2011 Association for Symbolic Logic

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Vol.76 • No. 3 • September 2011
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