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- W4226251163 abstract "In the paper, we study the relation between the images of polynomial derivations and their simplicity. We prove that the images of simple Shamsuddin derivations are not Mathieu-Zhao spaces. In addition, we also show that the images of some simple derivations in dimension three are not Mathieu-Zhao spaces. Thus, we conjecture that the images of simple derivations in dimension greater than one are not Mathieu-Zhao spaces. We also prove that locally nilpotent derivations are not simple in dimension greater than one." @default.
- W4226251163 created "2022-05-05" @default.
- W4226251163 creator A5060021689 @default.
- W4226251163 date "2022-03-11" @default.
- W4226251163 modified "2023-09-25" @default.
- W4226251163 title "The images of some simple derivations" @default.
- W4226251163 doi "https://doi.org/10.48550/arxiv.2203.05783" @default.
- W4226251163 hasPublicationYear "2022" @default.
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