The images of some simple derivations

DOI10.1142/s0219498824500944arXiv2203.05783MaRDI QIDQ6185908

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Publication date: 30 January 2024

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

Full work available at URL: https://arxiv.org/abs/2203.05783

zbMATH Keywords

locally nilpotent derivationsMathieu-Zhao spacessimple Shamsuddin derivations

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Polynomials, factorization in commutative rings (13P05)

Cites Work

• Unnamed Item
• Mathieu subspaces of associative algebras
• Idempotents in intersection of the kernel and the image of locally finite derivations and \(\mathcal{E}\)-derivations
• Generalizations of the image conjecture and the Mathieu conjecture
• Simple Shamsuddin derivations of \(K[X;Y_{1},\cdots ,Y_{n}\): An algorithmic characterization]
• DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES
• DIFFERENTIAL SIMPLICITY IN POLYNOMIAL RINGS AND ALGEBRAIC INDEPENDENCE OF POWER SERIES
• Simplicity of Some Derivations ofk[x,y]
• Simple derivations in two variables
• On Shamsuddin derivations and the isotropy groups

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