Jordan algebras of a degenerate bilinear form: Specht property and their identities
DOI10.1016/j.jalgebra.2023.09.032OpenAlexW4387368782MaRDI QIDQ6085512
Fabrizio Martino, Claudemir Fideles
Publication date: 8 November 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.09.032
embedding problemtrace identitiespolynomial identitiesgraded identitiesJordan algebraweak identities
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) Graded rings and modules (associative rings and algebras) (16W50) Simple, semisimple Jordan algebras (17C20) Jordan structures associated with other structures (17C50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
- Trace identities of the Jordan algebra of a bilinear form
- Finiteness of basis of identities of a finitely generated alternative PI- algebra over a field of characteristic zero
- The Specht property of the ideals of identities of certain simple nonassociative algebras
- A formal inverse to the Cayley-Hamilton theorem
- The invariant theory of \(n\times n\) matrices
- A characteristic free approach to invariant theory
- Specht property for some varieties of Jordan algebras of almost polynomial growth
- Embeddings for the Jordan algebra of a bilinear form
- Matrices with involution and invariant theory
- A finite basis for polynomial identities of the Jordan algebra of a bilinear form
- Graded polynomial identities of the Jordan superalgebra of a bilinear form
- Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
- Representability and Specht problem for \(G\)-graded algebras.
- Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form
- An example in PI-rings
- CONSTRUCTION OF NON-FINITELY BASED T-IDEALS
- Specht property for the 2-graded identities of the Jordan algebra of a bilinear form
- Identities of PI-Algebras Graded by a Finite Abelian Group
- VARIETIES AND $ Z_2$-GRADED ALGEBRAS
- Polynomial identities for a family of simple jordan algebras
- Varieties of special algebras
- TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
- Finitely based ideals of weak polynomial identities
- A Noncommutative Hilbert Basis Theorem and Subrings of Matrices
- Minimal Identities for Algebras
This page was built for publication: Jordan algebras of a degenerate bilinear form: Specht property and their identities
