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

[41] Homogeneous Locally Nilpotent Derivations of Nonfactorial Trinomial Algebras
Yu. I. Zaitseva
[J]. Mathematical Notes, 2019, 105 : 818 - 830
[42] Maximal Lie subalgebras among locally nilpotent derivations
Skutin, A. A.
[J]. SBORNIK MATHEMATICS, 2021, 212 (02) : 265 - 271
[43] Locally Nilpotent Derivations of Graded Integral Domains and Cylindricity
Chitayat, Michael
Daigle, Daniel
[J]. TRANSFORMATION GROUPS, 2024, 29 (02) : 591 - 620
[44] Locally nilpotent derivations on the surface xy = p(z)
Makar-Limanov, L
[J]. PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 215 - 219
[45] UFDs with commuting linearly independent locally nilpotent derivations
El Kahoui, M
[J]. JOURNAL OF ALGEBRA, 2005, 289 (02) : 446 - 452
[46] Locally nilpotent derivations of rings graded by an abelian group
Daigle, Daniel
Freudenburg, Gene
Moser-Jauslin, Lucy
[J]. ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS, 2017, 75 : 29 - 48
[47] Locally nilpotent derivations on affine surfaces with a C*-action
Flenner, H
Zaidenberg, M
[J]. OSAKA JOURNAL OF MATHEMATICS, 2005, 42 (04) : 931 - 974
[48] THE FREENESS PROPERTY FOR LOCALLY NILPOTENT DERIVATIONS OF R[2]
Ben Khaddah, A.
El Kahoui, M.
Ouali, M.
[J]. TRANSFORMATION GROUPS, 2023, 28 (01) : 35 - 60
[49] Homogeneous Locally Nilpotent Derivations of Nonfactorial Trinomial Algebras
Zaitseva, Yu. I.
[J]. MATHEMATICAL NOTES, 2019, 105 (5-6) : 818 - 830
[50] Locally Nilpotent Derivations of Free Algebra of Rank Two
Drensky, Vesselin
Makar-Limanov, Leonid
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15

← 1 2 3 4 5 →