Polynomial identities for a family of simple jordan algebras
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Publication:3809975
DOI10.1080/00927878808823634zbMath0661.17027OpenAlexW2135433743MaRDI QIDQ3809975
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878808823634
convergencebilinear formsubvarietiespolynomial identitiesvarieties of algebrascharacteristic zerocodimension seriessimple Jordan algebradescending chain condition on subvarietiesbasis of identical relations
Related Items (18)
Subvarieties of the Varieties Generated by the SuperalgebraM1, 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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