Two-sided zero product properties on symmetric algebras

DOI10.1016/J.LAA.2022.09.014OpenAlexW4296520135MaRDI QIDQ2085425

Tsiu-Kwen Lee, Jheng-Huei Lin, Muhammet Tamer Koşan

Publication date: 18 October 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.09.014

zbMATH Keywords

Jacobson radicalderivationsymmetric algebraseparable algebrabilinear functional(two-sided) zero product determined algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Derivations, actions of Lie algebras (16W25) Finite-dimensional division rings (16K20)

Cites Work

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• Automorphisms and derivations of upper triangular matrix rings
• Two-sided zero product determined algebras
• Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
• Separable algebras over commutative rings
• Extension of derivations to central simple algebras
• The images of polynomials of derivations
• Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX
• Zero Product Determined Algebras
• The Skolem–Noether Theorem for Semiprime Rings Satisfying a Strict Identity
• Finite dimensional zero product determined algebras are generated by idempotents

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