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Compact factor congruences imply Boolean factor congruences

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Abstract.

We prove that any variety \( \mathcal{V} \) in which every factor congruence is compact has Boolean factor congruences, i.e., for all A in \( \mathcal{V} \) the set of factor congruences of A is a distributive sublattice of the congruence lattice of A.

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  1. CIEM - Facultad de Matemática, Astronomía y Física (Fa.M.A.F.), Universidad Nacional de Córdoba, Ciudad Universitaria, 10500018, Córdoba, Argentina

    Diego J. Vaggione & Pedro Sánchez Terraf

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  1. Diego J. Vaggione
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  2. Pedro Sánchez Terraf
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Correspondence to Diego J. Vaggione.

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Vaggione, D.J., Terraf, P.S. Compact factor congruences imply Boolean factor congruences. Algebra univers. 51, 207–213 (2004). https://doi.org/10.1007/s00012-004-1857-1

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  • DOI: https://doi.org/10.1007/s00012-004-1857-1

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