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Perfect extensions of regular double Stone algebras

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Abstract

In 1951 Jónsson and Tarski showed that every Boolean algebra with operators could be embedded in a perfect (or canonical) extension. We obtain a similar result for regular double Stone algebras with operators. As a corollary we obtain another proof that every regular double Stone algebra can be represented as an algebra of rough subsets of an approximation space.

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Authors and Affiliations

  1. Department of Mathematics, The Citadel, 29409-0255, Charleston, SC, USA

    S. D. Comer

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  1. S. D. Comer
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Research supported in part by The Citadel Development Foundation.

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Comer, S.D. Perfect extensions of regular double Stone algebras. Algebra Universalis 34, 96–109 (1995). https://doi.org/10.1007/BF01200492

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  • DOI: https://doi.org/10.1007/BF01200492

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