Results 211 to 220 of about 19,007 (230)

Products of lattice varieties

Algebra Universalis, 1985
The concept of variety product originated in \textit{H. Neumann}'s work on ''Varieties of groups'' [Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37 (1967; Zbl 0251.20001)] and was generalized to universal algebra by \textit{A. I. Mal'cev} [Sib. Mat. Zh.
Grätzer, George, Kelly, David
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LATTICES OF VARIETIES OF ALGEBRAS

Mathematics of the USSR-Sbornik, 1980
Let be an associative and commutative ring with 1, a subsemigroup of the multiplicative semigroup of , not containing divisors of zero, and some variety of -algebras. A study is made of the homomorphism from the lattice of all subvarieties of into the lattice of all varieties of -algebras, which is induced in a certain natural sense by the ...
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Lattices of semigroup varieties

Russian Mathematics, 2009
The authors give a survey of a great number of results obtained during four decades of investigations on lattices of semigroup varieties and formulate several open problems. The contents of the survey are as follows: Introduction. Chapter I. The first layer of information: 1. The lattice of all semigroup varieties; 2. Varieties of epigroups; 3.
Shevrin, L. N., Vernikov, B. M., Volkov, M. V.   +2 more
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Quasiorder lattices of varieties

Algebra universalis, 2018
The set \(\mathrm{Quo}(A)\) of compatible quasiorders of an algebra \(A\) forms a lattice under inclusion and the congruence lattice \(\mathrm{Con}(A)\) is its sublattice. It is proved that a locally finite variety is congruence distributive (modular) if and only if it is quasiorder distributive (modular).
Gyenizse, Gergő, Maróti, Miklós
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Q -universal varieties of bounded lattices

Algebra Universalis, 2002
For a quasivariety \(K\), let \(L(K)\) denote the lattice of all quasivarieties contained in \(K\). A quasivariety \(K\) of algebraic systems of finite type is \(Q\)-universal if, for any quasivariety \(M\) of finite type, \(L(M)\) is a homomorphic image of a sublattice of \(L(K)\).
Adams, M. E., Dziobiak, W.
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Varieties of Demi‐Pseudocomplemented Lattices

Mathematical Logic Quarterly, 1991
The authors present a solution to the problem of desribing the structure of the lattice of subvarieties of the variety of demi \(p\)-lattices, and in particular of almost \(p\)-lattices. The main purpose is to present an infinite poset \(P_ 0\) whose Hasse diagram is completely described by the following property: The lattice of subvarieties of the ...
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Minimal Varieties of Involutive Residuated Lattices

Studia Logica, 2006
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Tsinakis, Constantine, Wille, Annika M.
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LATTICES OF VARIETIES OF LINEAR ALGEBRAS

Russian Mathematical Surveys, 1978
ContentsIntroduction § 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.
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Varieties of Lattices

2003
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 ...
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Some investigations of varieties ofN-lattices-lattices

Studia Logica, 1984
We examine some extensions of the constructive propositional logic with strong negation in the setting of varieties of\(\mathcal{N}\)-lattices. The main aim of the paper is to give a description of all pretabular, primitive and preprimitive varieties of\(\mathcal{N}\)-lattices.
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