Polynomial identities for a family of simple jordan algebras

DOI10.1080/00927878808823634zbMath0661.17027OpenAlexW2135433743MaRDI QIDQ3809975

Plamen Koshlukov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823634

zbMATH Keywords

convergencebilinear formsubvarietiespolynomial identitiesvarieties of algebrascharacteristic zerocodimension seriessimple Jordan algebradescending chain condition on subvarietiesbasis of identical relations

Mathematics Subject Classification ID

Identities and free Jordan structures (17C05)

Related Items (18)

Subvarieties of the Varieties Generated by the SuperalgebraM_{1, 1}(E) orM₂(𝒦) ⋮ Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. ⋮ Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Specht property of varieties of graded Lie algebras ⋮ Weitzenböck derivations of free metabelian associative algebras ⋮ Specht property for the 2-graded identities of the Jordan algebra of a bilinear form ⋮ Lie automorphisms of the algebra of two generic \(2\times 2\) matrices ⋮ Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. ⋮ Weak polynomial identities and their applications ⋮ AUTOMORPHISMS OF THE ENVELOPING ALGEBRA OF THE THREE-DIMENSIONAL NILPOTENT LIE ALGEBRA ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ Defining relations of invariants of two \(3\times 3\) matrices. ⋮ \(*\)-polynomial identities of a nonsymmetric \(*\)-minimal algebra. ⋮ Embeddings for the Jordan algebra of a bilinear form ⋮ DEFINING RELATIONS OF LOW DEGREE OF INVARIANTS OF TWO 4 × 4 MATRICES ⋮ Finitely based ideals of weak polynomial identities ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. ⋮ On the consequences of the standard polynomial

Cites Work

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• The sequence of codimensions of PI-algebras
• Homogeneous polynomial identities
• Polynomial identities for the Jordan algebra of a symmetric bilinear form
• \(\Sigma\)-predicates of finite types over an admissible set
• Asymptotic values for degrees associated with strips of Young diagrams
• T-ideals containing all matrix polynomial identities
• Ordering by Divisibility in Abstract Algebras

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