Mathieu-Zhao spaces of univariate polynomial rings with non-zero strong radical

DOI10.1016/j.jpaa.2016.02.015zbMath1338.13034OpenAlexW2294703375MaRDI QIDQ273011

Simeon Nieman, A. R. P. van den Essen

Publication date: 21 April 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.02.015

zbMATH Keywords

polynomial ringradicalcommutative k-algebraMathieu-Zhao space

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Theory of modules and ideals in commutative rings (13C99)

Related Items (5)

Idempotents in intersection of the kernel and the image of locally finite derivations and \(\mathcal{E}\)-derivations ⋮ Some open problems on locally finite or locally nilpotent derivations and ℰ-derivations ⋮ The LNED and LFED conjectures for algebraic algebras ⋮ Images of locally finite \(\mathcal{E} \)-derivations of bivariate polynomial algebras ⋮ Images of ideals under derivations and ℰ-derivations of univariate polynomial algebras over a field of characteristic zero

Cites Work

• Mathieu subspaces of associative algebras
• Moment vanishing problem and positivity: some examples
• On the image conjecture
• Images of commuting differential operators of order one with constant leading coefficients
• Generalizations of the image conjecture and the Mathieu conjecture
• Mathieu subspaces of univariate polynomial algebras
• Hessian nilpotent polynomials and the Jacobian conjecture

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