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Equationally distinct countable simple Q-relation algebras

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Abstract

Relation algebras were conceived by Tarski as the means to capture the algebra of binary relations. In this paper, we prove that a Maddux Style Representation preserves well-foundedness of relations, which is not in general true for a relation algebra isomorphism. This theorem enables us to construct equationally distinct countable simple Q-relation algebras using the method of forcing.

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Correspondence to Jianfeng Wu.

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Presented by I. Hodkinson.

This article is dedicated to Professor George F. McNulty

The author is grateful to an anonymous referee for various corrections and suggestions.

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Wu, J. Equationally distinct countable simple Q-relation algebras. Algebra Univers. 63, 131–147 (2010). https://doi.org/10.1007/s00012-010-0068-1

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  • DOI: https://doi.org/10.1007/s00012-010-0068-1

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