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

共 50 条

[31] T-IDEAL GENERATED BY STANDARD IDENTITY S3[X1, X2, X3]
REGEV, A
ISRAEL JOURNAL OF MATHEMATICS, 1977, 26 (02) : 105 - 125
[32] New Proofs for the Disjunctive Rado Number of the Equations x1 - x2 = a and x1 - x2 = b
Dileep, A.
Moondra, Jai
Tripathi, Amitabha
GRAPHS AND COMBINATORICS, 2022, 38 (02)
[33] 从“X1,X2∈”谈起
彭向阳
新高考(高三数学), 2013, (01) : 27 - 29
[34] CHARACTERIZING STRONG 2-GENERATORS IN K[X2,X3]
CHAPMAN, ST
HOUSTON JOURNAL OF MATHEMATICS, 1990, 16 (02): : 217 - 229
[35] On a linearization of the recursion U(x0, x1, x2, ...) = φ(x0, U(x1, x2, ...)) and its application in economics
Zdun, Marek Cezary
AEQUATIONES MATHEMATICAE, 2020, 94 (04) : 777 - 791
[36] CANCELLATION IN SEMIGROUPS IN WHICH X2=X3
BROWN, TC
SEMIGROUP FORUM, 1990, 41 (01) : 49 - 53
[37] Empirical Approach to the x2, x3 Conjecture
Downarowicz, Tomasz
Huczek, Dawid
EXPERIMENTAL MATHEMATICS, 2019, : 252 - 268
[38] F（x1,x2）=(f（x1）-f（x2）)/（x1-x2）型函数相关问题的转化方法
郭方奇
中学生数学, 2018, (11) : 7 - 8
[39] DIOPHANTINE EQUATION (X1+X2+...+XN)2=X1(3)+X2(3)+...+XN(3)
UTZ, WR
FIBONACCI QUARTERLY, 1977, 15 (01): : 14 - &
[40] Generalized Schur Numbers for x1 + x2 + c=3x3
Kezdy, Andre E.
Snevily, Hunter S.
White, Susan C.
ELECTRONIC JOURNAL OF COMBINATORICS, 2009, 16 (01):

← 1 2 3 4 5 →