The Specht property of the ideals of identities of certain simple nonassociative algebras
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Publication:1071857
DOI10.1007/BF02080333zbMath0586.17011MaRDI QIDQ1071857
Publication date: 1985
Published in: Algebra and Logic (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/187317
algebras with polynomial identitiesSpecht propertyJordan algebravarieties of algebrassymmetric bilinear formMalcev algebrasCayley-Dickson algebraLie triple systemsfinite basis of identities
Simple, semisimple Jordan algebras (17C20) Identities and free Jordan structures (17C05) Alternative rings (17D05) Mal'tsev rings and algebras (17D10) Free nonassociative algebras (17A50)
Related Items (20)
Weak polynomial identities for the matrix algebra of order two ⋮ Minimal identities of octonion algebras ⋮ On polynomial identities of Jordan pairs of rectangular matrices ⋮ Polynomial identities for the Jordan algebra of upper triangular matrices of order 2 ⋮ Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Specht property of varieties of graded Lie algebras ⋮ Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form ⋮ Representability and Specht problem for \(G\)-graded algebras. ⋮ Commutativity preserving maps revisited. ⋮ Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ The join of varieties with associative-commutative intersection of bounded index. ⋮ Weak polynomial identities and their applications ⋮ Finiteness of basis of identities of a finitely generated alternative PI- algebra over a field of characteristic zero ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ Identities with involution for the matrix algebra of order two in characteristic \(p\). ⋮ Some graded identities of the Cayley–Dickson algebra ⋮ Embeddings for the Jordan algebra of a bilinear form ⋮ Skew-symmetric identities of octonions ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ Polynomial Identities of RA and RA2 Loop Algebras
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