Results 61 to 70 of about 439 (93)
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Coverings in the lattice of quasivarieties of groups
Siberian Mathematical Journal, 1987Let P be an infinite set of odd primes and M(P) the quasivariety of groups defined by quasi-identities \([x,y^ i,x]=1\to [x,y^ j,x]=1\) where i,j\(\in P\). Then M(P) has continuum covers in the lattice \(L_ q\) of quasivarieties of groups. There exist continuum quasivarieties of groups Q which have continuum covers in \(L_ q\) and satisfy any of the ...
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Lattices of dominions in quasivarieties of Abelian groups
Algebra and Logic, 2005Summary: Let \(\mathcal M\) be any quasivariety of Abelian groups, \(\text{dom}_G^{\mathcal M}(H)\) be the dominion of a subgroup \(H\) of a group \(G\) in \(\mathcal M\), and \(L_q(\mathcal M)\) be the lattice of subquasivarieties of \(\mathcal M\).
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The lattice of quasivarieties of lattices
Algebra Universalis, 1979Grätzer, G., Lakser, H.
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Coverings in the lattice of quasivarieties ofl-groups
Algebra and Logic, 1996We investigate the structure of the lattice of quasivarieties of lattice-ordered groups (l-groups). Series of coverings for certain particular quasivarieties of l-groups are constructed.
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Filters in the lattice of quasivarieties of metabelian groups
Siberian Mathematical Journal, 1998The author gives a negative answer to a question posed by \textit{A. I. Budkin}: Is every nontrivial filter in the lattice of quasivarieties of torsion-free metabelian groups countable [The Kourovka notebook. Unsolved problems in group theory, 13th ed., Institute of Mathematics, Novosibirsk (1995; Zbl 0838.20001)].
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Algebra and Logic, 1983
Let \(B_ 3\) be the distributive lattice with pseudocomplementation obtained from the 3-atomic Boolean lattice by adding a new unit element, \({\mathcal B}_ 3\) the variety generated by \(B_ 3\), and \(L_ q({\mathcal B}_ 3)\) the lattice of sub-quasivarieties of \({\mathcal B}_ 3\). The author proves that the lattice \(L_ q({\mathcal B}_ 3)\) satisfies
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Let \(B_ 3\) be the distributive lattice with pseudocomplementation obtained from the 3-atomic Boolean lattice by adding a new unit element, \({\mathcal B}_ 3\) the variety generated by \(B_ 3\), and \(L_ q({\mathcal B}_ 3)\) the lattice of sub-quasivarieties of \({\mathcal B}_ 3\). The author proves that the lattice \(L_ q({\mathcal B}_ 3)\) satisfies
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On a cardinality of the lattice of quasivarieties of nilpotent groups
Algebra and Logic, 1999Given a class \(\mathcal R\) of groups, denote by \(q{\mathcal R}\) the quasivariety generated by this class. Let \(L_{q}(q{\mathcal R})\) be the lattice of quasivarieties contained in \(q{\mathcal R}\). The author computes the cardinality of the lattice of quasivarieties \(L_{q}(q{\mathcal N})\) for every quasivariety \(\mathcal N\) of nilpotent ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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