\textbf{f}-zpd algebras and a multilinear Nullstellensatz

DOI10.1016/j.jalgebra.2024.02.035arXiv2310.15038OpenAlexW4392517639MaRDI QIDQ6203798

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Publication date: 8 April 2024

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

Full work available at URL: https://arxiv.org/abs/2310.15038

zbMATH Keywords

matrix algebraNullstellensatzmultilinear polynomialpolynomial identitycentral polynomialzero product determined\(f\)-zpd algebrazpd algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Linear preserver problems (15A86) Idempotent elements (associative rings and algebras) (16U40)

Cites Work

• On matrices of trace zero
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• Zero Jordan product determined algebras
• A Generalization of Hilbert's Nullstellensatz
• Permutations as Products of Transpositions
• Zero Product Determined Algebras
• Generalized commutators in matrix rings