Image of linear K-derivations and linear ?e-derivations of ?[x1,x2,x3,x4]

被引：0

作者：

Gupta, Sakshi ^{[1
,2
]}

Ahuja, Divya ^{[1
]}

Kour, Surjeet ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Math, New Delhi, India

[2] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 12期

关键词：

-derivation; e-derivation; LFED conjecture; Mathieu-Zhao subspaces; LOCALLY FINITE DERIVATIONS;

D O I：

10.1080/00927872.2023.2224885

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 ?[x(1),x(2),x(3),x(4)] is a Mathieu-Zhao subspace. We have further shown that, under certain conditions, the image of ?e-derivations of ?[x(1),x(2),x(3),x(4)] is a Mathieu-Zhao subspace.

引用

页码：5091 / 5106

页数：16

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