Varieties and finite closure conditions
John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Marino Gran, Diana Rodelo (2012)
Diagrammes
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Hans-Eberhard Porst (2000)
Commentationes Mathematicae Universitatis Carolinae
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It is shown how Lawvere's one-to-one translation between Birkhoff's description of varieties and the categorical one (see [6]) turns Hu's theorem on varieties generated by a primal algebra (see [4], [5]) into a simple reformulation of the classical representation theorem of finite Boolean algebras as powerset algebras.
Ewa Graczyńska, Dietmar Schweigert (2007)
Discussiones Mathematicae - General Algebra and Applications
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Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ. Dimensions of varieties of lattices...
Ramalho, Margarita (2001)
Portugaliae Mathematica. Nova Série
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L. Ein (1986)
Inventiones mathematicae
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