Polynomial identities of Bernstein algebras of small dimension

DOI10.1006/JABR.1998.7475zbMath0907.17026OpenAlexW2060325190MaRDI QIDQ1270053

K. Appert

Publication date: 2 December 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7475

zbMATH Keywords

polynomial identityBernstein algebra

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ Representations of exceptional simple alternative superalgebras of characteristic 3 ⋮ Polynomial Identities for Bernstein Algebras of Simple Mendelian Inheritance ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• On identities of baric algebras and superalgebras
• Bernstein algebras which are Jordan algebras
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Solvability of the ideal of all weight zero elements in bernstein algebras
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