Weak polynomial identities for the matrix algebras

DOI10.1080/00927879308824765zbMath0799.16017OpenAlexW2137292578MaRDI QIDQ3136872

Tsetska Gr. Rashkova, Vesselin Drensky

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824765

zbMATH Keywords

matrix algebraLie algebraPI-algebrascentral polynomialsweak identitiesweak polynomial identitiesminimal central polynomials

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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

\(\ell\)-weak identities and central polynomials for matrices ⋮ Standard polynomials and matrices with superinvolutions ⋮ New central polynomials for the matrix algebra ⋮ Identities in algebras with involution ⋮ Central polynomials of the second-order matrix algebra with graded involution ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Another proof of the Nowicki conjecture ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Weak polynomial identities and their applications ⋮ On the graded identities and cocharacters of the algebra of \(3\times 3\) matrices ⋮ Identities of representations of Lie algebras and *-polynomial identities ⋮ Matrix algebras with involution and central polynomials ⋮ Central polynomials for low order matrix algebras with involution¹

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central polynomials for matrix rings
• A new central polynomial for 3 × 3 matrices
• Central and weak identities for matrices