Compact factor congruences imply Boolean factor congruences |
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Authors: | Diego J. Vaggione Pedro Sánchez Terraf |
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Affiliation: | (1) CIEM - Facultad de Matemática, Astronomía y Física (Fa.M.A.F.), Universidad Nacional de Córdoba, Ciudad Universitaria, 10500018 Córdoba, Argentina |
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Abstract: | We prove that any variety in which every factor congruence is compact hasBoolean factor congruences, i.e., for all A in the set of factor congruences of A is a distributive sublattice of the congruence lattice of A. |
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Keywords: | 08A05 08A030 03C40. |
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