Finite combinatorial generation of metabelian \(T\)-ideal

DOI10.1007/S10958-018-3958-YzbMath1398.16020OpenAlexW2886358882WikidataQ129443465 ScholiaQ129443465MaRDI QIDQ1991562

Victor N. Latyshev

Publication date: 30 October 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3958-y

zbMATH Keywords

Gröbner-Shirshov basismetabelian \(T\)-idealmultilinear monomials

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Finiteness of the standard basis of a \(T\)-ideal containing Lie nilpotency of index 4
• Combinatorial generators of the multilinear polynomial identities.
• Ordering by Divisibility in Abstract Algebras

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