On lattices of varieties of universal algebras
J. Płonka (1987)
Colloquium Mathematicae
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J. Płonka (1987)
Colloquium Mathematicae
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John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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Libor Polák (1988)
Semigroup forum
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L. Polák (1987)
Semigroup forum
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N.Ya. Medvedev, S. V. Morozova (1998)
Czechoslovak Mathematical Journal
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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...
Anna Mućka (2006)
Discussiones Mathematicae - General Algebra and Applications
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The class of all fibered automata is a variety of two-sorted algebras. This paper provides a full description of the lattice of varieties of fibred automata.
Mikhail V. Volkov (2010)
Discussiones Mathematicae - General Algebra and Applications
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We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field.
G. Ewald (1988)
Discrete & computational geometry
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Banach Center Publications
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Mathematische Annalen
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