A NOTE ON LOCALLY NILPOTENT DERIVATIONS

被引：15

作者：

FERRERO, M

LEQUAIN, Y

NOWICKI, A

机构：

[1] INST MATEMATICA PURA & APLICADA,BR-22460 RIO DE JANEIRO,BRAZIL

[2] NICHOLAS COPERNICUS UNIV,DEPT MATH,PL-87100 TORUN,POLAND

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1992年 / 79卷 / 01期

关键词：

D O I：

10.1016/0022-4049(92)90125-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative reduced, Z-torsion free ring. Let d and delta be two locally nilpotent derivations of R which commute, a an element of R. We prove that the derivation ad + delta is locally nilpotent if and only if d(a) = 0.

引用

页码：45 / 50

页数：6

共 50 条

[1] A note on the locally nilpotent derivations in the symmetric monoidal categories
Banerjee, Abhishek
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2016, 23 (01) : 151 - 160
[2] NOTE ON NILPOTENT DERIVATIONS
LEE, PH
LEE, TK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 98 (01) : 31 - 32
[3] Centralizers of locally nilpotent derivations
Finston, DR
Walcher, S
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 120 (01) : 39 - 49
[4] Locally nilpotent derivations on modules
Tanaka, Mikiya
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2009, 49 (01): : 131 - 159
[5] Subresultants and locally nilpotent derivations
El Kahoui, M
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 380 : 253 - 261
[6] A Note on Locally Nilpotent Derivations and Variables of k[X, Y, Z]
Daigle, Daniel
Kaliman, Shulim
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2009, 52 (04): : 535 - 543
[7] Some open problems on locally finite or locally nilpotent derivations and ε-derivations
Zhao, Wenhua
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018, 20 (04)
[8] ON RINGS WITH LOCALLY NILPOTENT SKEW DERIVATIONS
Bergen, Jeffrey
Grzeszczuk, Piotr
[J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (10) : 3698 - 3708
[9] Locally nilpotent derivations and Danielewski surfaces
Daigle, D
[J]. OSAKA JOURNAL OF MATHEMATICS, 2004, 41 (01) : 37 - 80
[10] Centralizers of Linear and Locally Nilpotent Derivations
Leonid Bedratyuk
Anatolii Petravchuk
Evhen Chapovskyi
[J]. Ukrainian Mathematical Journal, 2024, 75 : 1190 - 1202

← 1 2 3 4 5 →