Some remarks on Mathieu subspaces over associative algebras

DOI10.1142/S021949881750089XzbMath1367.16018arXiv1101.1112OpenAlexW2963691115MaRDI QIDQ5739058

Michiel de Bondt

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1112

zbMATH Keywords

idempotentsvaluation domainradicalsMathieu subspacesstrongly simple algebrasco-integral elementsuniform Mathieu subspaces

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (2)

Images of locally finite \(\mathcal{E} \)-derivations of bivariate polynomial algebras ⋮ Mathieu subspaces of associative algebras

Cites Work

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• Mathieu subspaces of associative algebras
• Two results on homogeneous Hessian nilpotent polynomials
• Images of commuting differential operators of order one with constant leading coefficients
• Constant terms in powers of a Laurent polynomial
• A vanishing conjecture on differential operators with constant coefficients
• Hessian nilpotent polynomials and the Jacobian conjecture

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