Image of linear K-derivations and linear ΚƐ-derivations of K[x 1,x 2,x 3,x 4]

Let K be a field of characteristic zero. We show that the image of a linear K-derivation of rank less than or equal to two over the polynomial algebra is a Mathieu-Zhao subspace. We have further shown that, under certain conditions, the image of -derivations of is a Mathieu-Zhao subspace.

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Bibliographic Details
Published in:	Communications in algebra Vol. 51; no. 12; pp. 5091 - 5106
Main Authors:	Gupta, Sakshi, Ahuja, Divya, Kour, Surjeet
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 02-12-2023 Taylor & Francis Ltd
Subjects:	derivation K-derivation LFED conjecture Mathieu-Zhao subspaces Polynomials
Online Access:	Get full text
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Description
Summary:	Let K be a field of characteristic zero. We show that the image of a linear K-derivation of rank less than or equal to two over the polynomial algebra is a Mathieu-Zhao subspace. We have further shown that, under certain conditions, the image of -derivations of is a Mathieu-Zhao subspace.
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2023.2224885