A variant of Rosset's approach to the Amitsur-Levitzki theorem and some $\mathbb{Z}_{2}$-graded identities of $\mathrm{M}_{n}(E)$
DOI10.55730/1300-0098.3237OpenAlexW4293588808MaRDI QIDQ5103895
Publication date: 9 September 2022
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.55730/1300-0098.3237
Amitsur-Levitzki theorem on \(n\times n\) matricesfull matrix algebra over the infinite dimensional Grassmann algebra
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)
Cites Work
- Unnamed Item
- A new proof of the Amitsur-Levitski identity
- Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra
- On the graded identities of \(M_{1,1}(E)\)
- Tensor products of matrix algebras over the Grassmann algebra
- Matrices over centrally \(\mathbb Z_2\)-graded rings
- Polynomial identity rings.
- Asymptotic codimensions of \(M_k(E)\)
- Polynomial Identities of M2,1(G)
- VARIETIES AND $ Z_2$-GRADED ALGEBRAS
- Identities of associative algebras
- New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings
- POLYNOMIAL IDENTITIES OF
- Powers of standard identities satisfied by verbally prime algebras
- Minimal Identities for Algebras
- The T -Ideals of the Free Ring
This page was built for publication: A variant of Rosset's approach to the Amitsur-Levitzki theorem and some $\mathbb{Z}_{2}$-graded identities of $\mathrm{M}_{n}(E)$
