MULTILINEAR IDENTITIES OF THE ALGEBRAS OVER A FIELD OF CHARACTERISTIC P

DOI10.1142/S0218196795000124zbMath0835.16019OpenAlexW2030480179MaRDI QIDQ4852670

Alexander Kemer

Publication date: 8 April 1996

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196795000124

zbMATH Keywords

matrix algebrasmultilinear identitiestrace identitiesPI algebrasHamilton-Cayley identity

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (14)

The mathematics of Amitai Regev ⋮ Normal bases of PI-algebras. ⋮ Affine representability and decision procedures for commutativity theorems for rings and algebras ⋮ On matrix types of prime varieties of associative algebras. ⋮ On ideals of the group algebra of an infinite symmetric group over a field of characteristic \(p\). ⋮ Centralizers in free associative algebras and generic matrices ⋮ Representability and Specht problem for \(G\)-graded algebras. ⋮ The Grassmann algebra over arbitrary rings and minus sign in arbitrary characteristic ⋮ On the nilindex of the radical of a relatively free associative algebra. ⋮ Remarks on the prime varieties ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ T-spaces and their applications. ⋮ Powers of standard identities satisfied by verbally prime algebras ⋮ Rings of matrix invariants in positive characteristic

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