Superalgebras and Dimensions of Algebras

DOI10.1142/S0218196798000065zbMath0923.16023OpenAlexW2074648644MaRDI QIDQ4354231

Michael Vaughan-Lee

Publication date: 15 September 1997

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196798000065

zbMATH Keywords

associated Lie ringsfree Engel-4 groupsdimensions of relatively free algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Superalgebras (17A70) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Engel conditions (20F45) Associated Lie structures for groups (20F40) Nonassociative algebras satisfying other identities (17A30) Identities other than those of matrices over commutative rings (16R40)

Related Items (9)

Speciality of Malcev superalgebras on one odd generator ⋮ On the topological rank of the variety of right alternative metabelian Lie-nilpotent algebras ⋮ THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR ⋮ Basic superranks for varieties of algebras ⋮ The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator ⋮ ANTI-COMMUTATIVE ALGEBRAS WITH SKEW-SYMMETRIC IDENTITIES ⋮ FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR ⋮ Nonfinitely Based Varieties of Right Alternative Metabelian Algebras ⋮ A base of the free alternative superalgebra on one odd generator

Cites Work

• A nilpotent quotient algorithm for graded Lie rings
• An algorithm for computing graded algebras

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