Results 21 to 30 of about 153 (86)
Lattices of quasivarieties of unars
Siberian Mathematical Journal, 1986 Translation from Sib. Mat. Zh. 26, No.3(151), 49-62 (Russian) (1985; Zbl 0569.08005).
В. К. Карташов
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Quasivarieties of orthomodular lattices and Bell inequalities
Reports on Mathematical Physics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D'Andrea, Anna Bruna +1 more
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ON FILTERS IN THE LATTICE OF QUASIVARIETIES OF GROUPS
Mathematics of the USSR-Izvestiya, 1989 See the review in Zbl 0656.20032.
A. I. Budkin
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The structure of the lattices of quasivarieties
Algebra Universalis, 1994 For an algebraic system \(A\) and a quasivariety \(\mathcal K\) let \(\text{Con}_{{\mathcal K}} A\) be the lattice of all congruence relations \(\theta\) on \(A\) such that \(A/\theta\in {\mathcal K}\). Define the embedding relation \(\leq\) as follows: \(\theta\leq \theta'\) iff \(A/\theta'\) is embeddable into \(A/\theta\).
В. А. Горбунов
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Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. I
Algebra and Logic, 1995 The paper under review is the second part of the author's work which will be published in three parts [for the first part see Algebra Logika, 34, No. 2, 142-168 (1995); English translation: Algebra Logic 34, No. 2, 73-86 (1995; Zbl 0841.08005)]. The aim of the whole work is to provide a unified approach to the study of lattices of varieties and ...
В. А. Горбунов
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Finite distributive lattices of quasivarieties
Algebra and Logic, 1983 The paper contains an answer to the question: Is it possible to represent every finite distributive lattice by a lattice of quasivarieties? The answer is: For any distributive lattice L there exists a finitely generated, locally finite quasivariety M of finite type such that the lattice L is isomorphic to the lattice \(L_ q(M)\) of all subvarieties of ...
V. I. Tumanov
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The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
Algebra and Logic, 2003 Let \(M\) be a quasivariety and let \(L_q(M)\) be the lattice of quasivarieties in \(M\). The author denotes by \(F_2(A^2)\) a free metabelian group on two generators and by \(F_2(N_2)\) a free nilpotent group of degree two on two generators. Theorem 2.
A. I. Budkin
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Algebraic atomistic lattices of quasivarieties
Algebra and Logic, 1997 Summary: The Gorbunov-Tumanov conjecture on the structure of lattices of quasivarieties is proven true for the case of algebraic lattices. Namely, for an algebraic atomistic lattice \(L\), the following conditions are equivalent: (1) \(L\) is represented as \(L_q(\mathcal K)\) for some algebraic quasivariety \(\mathcal K\); (2) \(L\) is represented as \
Adaricheva, K. V. +2 more
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On atoms in the lattice of quasivarieties
Algebra Universalis, 1987 A Q-lattice is a lattice isomorphic to the subquasivariety lattice of a quasivariety of algebraic systems. Every Q-lattice is join semi- distributive. The converse statement is false since every Q-lattice is atomic and its dual is algebraic. The aim of the present paper is to prove the following theorem: ``The join of a finite set X of atoms in any Q ...
W. Dziobiak
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Quasivarieties of lattice-ordered groups
, 1994 An implication of the signature l = {·, -1, e, ∨, ∧} is a formula φ of the predicate calculus of the form $$\left( {\forall {x_1}} \right) \ldots \left( {\forall {x_n}} \right)\left( {{w_1}\left( {{x_1}, \ldots ,{x_n}} \right) = e\& \ldots \& {w_k}\left( {{x_1}, \ldots {x_n}} \right) = e \Rightarrow \Rightarrow {w_{k + 1}}\left( {{x_{1,}} \ldots ...
V. M. Kopytov, N. Ya. Medvedev
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