Results 211 to 220 of about 19,781 (262)
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, 2011
In this section, we shall discuss the basic properties of varieties of lattices. Of the four characterizations and descriptions given, three apply to arbitrary varieties of universal algebras; the fourth is valid only for those varieties of universal algebras that are congruence distributive (that is, the congruence lattice of any algebra in the ...
G. Grätzer
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In this section, we shall discuss the basic properties of varieties of lattices. Of the four characterizations and descriptions given, three apply to arbitrary varieties of universal algebras; the fourth is valid only for those varieties of universal algebras that are congruence distributive (that is, the congruence lattice of any algebra in the ...
G. Grätzer
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LATTICES OF VARIETIES OF LINEAR ALGEBRAS
Russian Mathematical Surveys, 1978ContentsIntroduction § 1. Varieties of linear algebras § 2. Residually nilpotent chain varieties of algebras § 3. Precomplete varieties of algebras § 4. Chain varieties of alternative, right alternative Lie-admissible, and Jordan algebras § 5. Chain varieties of restricted Lie p-algebras § 6.
V. Artamonov
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Minimal Varieties of Involutive Residuated Lattices
Studia Logica, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Tsinakis, A. M. Wille
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Complete Congruences on Lattices of Varieties and of Pseudovarieties
International Journal of Algebra and Computation, 1998Three methods for the construction of all complete congruences on the lattice Lv( V ) of subvarieties of a variety V are introduced. It is shown that there exists an order preserving embedding of the lattice of complete congruences on the lattice Lp( P ) of all subpseudovarieties of a given pseudovariety P into the direct product of the lattices of ...
F. Pastijn, P. G. Trotter
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Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. I
Algebra and Logic, 1995V A Gorbunov, Gorbunov V A
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Mathematical Surveys and Monographs, 1988
Introduction. Preliminaries. Basic concepts. Lattices. Unary and binary operations. Fundamental algebraic results. Unique factorization. Bibliography. Table of notation. Index.
R. McKenzie, G. McNulty, W. Taylor
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Introduction. Preliminaries. Basic concepts. Lattices. Unary and binary operations. Fundamental algebraic results. Unique factorization. Bibliography. Table of notation. Index.
R. McKenzie, G. McNulty, W. Taylor
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International Journal of Algebra and Computation, 2022
A variety is primitive if every subquasivariety is equational, i.e. a subvariety. In this paper, we explore the connection between primitive lattice varieties and Whitman’s condition (W). For example, if every finite subdirectly irreducible lattice in a locally finite variety [Formula: see text] satisfies Whitman’s condition (W), then [Formula: see ...
Peter Jipsen, James B. Nation
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A variety is primitive if every subquasivariety is equational, i.e. a subvariety. In this paper, we explore the connection between primitive lattice varieties and Whitman’s condition (W). For example, if every finite subdirectly irreducible lattice in a locally finite variety [Formula: see text] satisfies Whitman’s condition (W), then [Formula: see ...
Peter Jipsen, James B. Nation
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Lattices of semigroup varieties
Russian Mathematics, 2009Mikhail Volkov +2 more
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Some investigations of varieties ofN-lattices-lattices
Studia Logica, 1984Andrzej Sendlewski
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