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

[41] CALCULATOR FOR FINDING COMPOSITION OF (Me1)x1 (Me2)x2 (CcHhNnOo)x3 (NO3)x4 (H2O)x5 (Cl)x6 TYPE COMPLEX FROM ELEMENTAL ANALYSIS DATA
Kaczmarek, Anna M.
Kaczmarek, Mariusz
JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY, 2010, 9 (06): : 1043 - 1051
[42] K[x1,x2;x1-1,x2-1]上的分次扩张
孟淑慧
尹方虎
谢光明
广西师范大学学报(自然科学版), 2015, 33 (01) : 74 - 79
[43] When is f(x1,x2, ... ,xn) = u1(x1)+u2(x2)+•••+un(xn)?
Klopotowski, A
Nadkarni, MG
Rao, KPSB
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2003, 113 (01): : 77 - 86
[44] When isf(x1, x2, ..., xn) =u1(x1) +u2(x2) + ... +un(xn)?
A. Kłopotowski
M G. Nadkarni
K. P. S. Bhaskara Rao
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2003, 113 : 77 - 86
[45] REMARKS ON THE DETERMINANT [X1, X2, ... , XR]
LEVITSKI, J
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) : 268 - 268
[46] (x1,x2,x3)M（n;P1,P2,P3）的BAYES检验
冯平
青海师范大学学报(自然科学版), 2007, (02) : 21 - 22+33
[47] 三款Phenom X4/X3即将降价
现代电子技术, 2008, (17) : 75 - 75
[48] CHARACTERIZING DISTRIBUTIONS OF 3 INDEPENDENT N-DIMENSIONAL RANDOM VARIABLES, X1, X2, X3, HAVING ANALYTIC CHARACTERISTIC FUNCTIONS BY JOINT DISTRIBUTION OF (X1+X3, X2+X3)
MILLER, PG
PACIFIC JOURNAL OF MATHEMATICS, 1970, 35 (02) : 487 - &
[49] X2 AND X3 INVARIANT-MEASURES AND ENTROPY
RUDOLPH, DJ
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1990, 10 : 395 - 406
[50] MARKOV PARTITIONS REFLECTING THE GEOMETRY OF x2, x3
Ward, Thomas
Yayama, Yuki
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 24 (02) : 613 - 624

← 1 2 3 4 5 →