Locally nilpotent derivations on modules

被引：3

作者：

Tanaka, Mikiya ^{[1
]}

机构：

[1] Kwansei Gakuin Univ, Sch Sci & Technol, Sanda, Hyogo 6691337, Japan

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2009年 / 49卷 / 01期

关键词：

D O I：

10.1215/kjm/1248983033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend a locally nilpotent derivation delta on a ring B to B-modules M and investigate the properties of such B-modules M. It turns out that the various geometric properties of the associated G(a)-action on Spec B can be reflected on the properties of M.

引用

页码：131 / 159

页数：29

共 50 条

[41] Locally Nilpotent Derivations of Graded Integral Domains and Cylindricity
Chitayat, Michael
Daigle, Daniel
TRANSFORMATION GROUPS, 2024, 29 (02) : 591 - 620
[42] Maximal Lie subalgebras among locally nilpotent derivations
Skutin, A. A.
SBORNIK MATHEMATICS, 2021, 212 (02) : 265 - 271
[43] Locally nilpotent derivations of rings graded by an abelian group
Daigle, Daniel
Freudenburg, Gene
Moser-Jauslin, Lucy
ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS, 2017, 75 : 29 - 48
[44] UFDs with commuting linearly independent locally nilpotent derivations
El Kahoui, M
JOURNAL OF ALGEBRA, 2005, 289 (02) : 446 - 452
[45] Locally nilpotent derivations on the surface xy = p(z)
Makar-Limanov, L
PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 215 - 219
[46] Locally nilpotent derivations on affine surfaces with a C*-action
Flenner, H
Zaidenberg, M
OSAKA JOURNAL OF MATHEMATICS, 2005, 42 (04) : 931 - 974
[47] THE FREENESS PROPERTY FOR LOCALLY NILPOTENT DERIVATIONS OF R[2]
Ben Khaddah, A.
El Kahoui, M.
Ouali, M.
TRANSFORMATION GROUPS, 2023, 28 (01) : 35 - 60
[48] Homogeneous Locally Nilpotent Derivations of Nonfactorial Trinomial Algebras
Zaitseva, Yu. I.
MATHEMATICAL NOTES, 2019, 105 (5-6) : 818 - 830
[49] Locally Nilpotent Derivations of Free Algebra of Rank Two
Drensky, Vesselin
Makar-Limanov, Leonid
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
[50] LOCALLY FINITE AND LOCALLY NILPOTENT DERIVATIONS WITH APPLICATIONS TO POLYNOMIAL FLOWS AND POLYNOMIAL MORPHISMS
VANDENESSEN, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (03) : 861 - 871

← 1 2 3 4 5 →