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math.LO2008
Factor Congruences in Semilattices
Pedro Sánchez Terraf
We characterize factor congruences in semilattices by using generalized notions of order ideal and of direct sum of ideals. When the semilattice has a minimum (maximum) element, th…
math.LO2008★ 11 cited
Varieties with Definable Factor Congruences
Pedro Sánchez Terraf, Diego J. Vaggione
We study direct product representations of algebras in varieties. We collect several conditions expressing that these representations are "definable" in a first-order-logic sense,…