Schreier varieties of algebras

DOI10.1007/BF00750233zbMath0827.17002OpenAlexW3146705479MaRDI QIDQ1892819

Ualbei Utmakhanbetovich Umirbaev

Publication date: 26 June 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187689

zbMATH Keywords

free algebraSchreier varietyuniversal multiplicative enveloping algebrahomogeneous variety of linear algebras

Mathematics Subject Classification ID

Free algebras (08B20) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items

STABLE EQUIVALENCE PROBLEMS FOR FREE ALGEBRAS WITH THE NIELSEN-SCHREIER PROPERTY ⋮ Defining relations for automorphism groups of free algebras ⋮ Free generic Poisson fields and algebras ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ An independent system of identities for a variety of mono-Leibniz algebras ⋮ Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras ⋮ Universal enveloping algebras and universal derivations of Poisson algebras ⋮ PBW-Pairs of Varieties of Linear Algebras ⋮ Polarization algebras and their relations ⋮ Automorphic orbits in free non-associative algebras ⋮ Constants of formal derivatives of non-associative algebras, Taylor expansions and applications ⋮ Free abelian extensions of \(S_{p}\)-permutable algebras ⋮ The Magnus representation in congruence modular varieties ⋮ Left-symmetric algebras of derivations of free algebras ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Ualbai Utmakhanbetovich Umirbaev ⋮ Free Akivis algebras, primitive elements, and hyperalgebras

Cites Work

• Die Unterringe der freien Lieschen Ringe
• SOME PROPERTIES OF SUBALGEBRAS IN VARIETIES OF LINEAR $ \Omega$-ALGEBRAS
• Subalgebras of Free Associative Algebras
• On Schreier Varieties of Linear Algebras
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