On identities of baric algebras and superalgebras

DOI10.1006/JABR.1997.7115zbMath0890.17034OpenAlexW1997173526MaRDI QIDQ1375352

J. Ning

Publication date: 25 March 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7115

zbMATH Keywords

identitiessuperalgebrasbaric algebrasnuclear Bernstein algebra

Mathematics Subject Classification ID

Superalgebras (17A70) Nonassociative algebras satisfying other identities (17A30) Genetic algebras (17D92)

Related Items (8)

Étude des ω-PI Algèbres Commutatives de Degré 4: I. Algèbres Non Barycentriques Non Invariantes par Gamétisation ⋮ Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives ⋮ Peirce-evanescent baric identities ⋮ Dibaric and evolution algebras in biology ⋮ Polynomial identities of Bernstein algebras of small dimension ⋮ Sur les identités polynomiales vérifiées par les algèbres de rétrocroisement ⋮ Étude desω-PI Algèbres Commutatives de Degré 4: II. Algèbres Non Barycentriques Invariantes par Gamétisation ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• Magnum P.I
• Basis for identities of the algebra of upper triangular matrices
• Shape identities in genetic algebras
• Bernstein algebras which are Jordan algebras
• Solvabiie jordan algebras
• Identities of associative algebras
• Solvability of the ideal of all weight zero elements in bernstein algebras
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