scientific article; zbMATH DE number 1522517

zbMath0964.08002MaRDI QIDQ4510752

Vyacheslav A. Artamonov

Publication date: 9 July 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

free algebravarietyfinitely based varietyMal'tsev conditionvariety of groupsvariety of semigroupslattice of varietiesproduct of varietiesvariety of latticescongruence-modularityprevarietyvariety of linear algebrascongruence-distributivity

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Identities, free Lie (super)algebras (17B01) Equational logic, Mal'tsev conditions (08B05) Congruence modularity, congruence distributivity (08B10) Quasivarieties and varieties of groups (20E10) Free algebras (08B20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Varieties of lattices (06B20) Identities and free Jordan structures (17C05) Alternative rings (17D05) Mal'tsev rings and algebras (17D10) Varieties (08Bxx) Research exposition (monographs, survey articles) pertaining to general algebraic systems (08-02)

Related Items (2)

Primitive and almost primitive elements of Schreier varieties ⋮ Varieties satisfying semigroup identities: Algebras over a finite field and rings

Cites Work

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• On the Burnside problem for groups of even exponent
• On finite and locally finite subgroups of free Burnside groups of large even exponents
• Existence of identities in \(A \otimes B\)
• A Characterization of Identities Implying Congruence Modularity I
• The lattice of interpretability types of varieties
• The equational classes generated by single functionally precomplete algebras
• Global subdirect products
• Identities of associative algebras
• The structure of finite algebras
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• Infinite Burnside groups of even exponent
• Varieties of groups

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