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A basis of a free metabelian associative algebra

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Publication:1190737
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DOI10.1007/BF00971193zbMath0774.16009OpenAlexW2043924564MaRDI QIDQ1190737

Leonid A. Bokut', Leonid G. Makar-Limanov

Publication date: 26 September 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971193


zbMATH Keywords

generatorsfree associative algebrasbasiscommutators\(T\)-ideals


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10)


Related Items (7)

Identities of metabelian alternative algebras ⋮ Gröbner bases of ideals invariant under endomorphisms. ⋮ Gröbner-Shirshov bases for quantum enveloping algebras ⋮ Dual Alternative Algebras in Characteristic Three ⋮ On Gröbner bases of noncommutative power series ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. ⋮ Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras



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