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2009 Locally nilpotent derivations on modules
Mikiya Tanaka
J. Math. Kyoto Univ. 49(1): 131-159 (2009). DOI: 10.1215/kjm/1248983033

Abstract

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 $M$.

Citation

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Mikiya Tanaka. "Locally nilpotent derivations on modules." J. Math. Kyoto Univ. 49 (1) 131 - 159, 2009. https://doi.org/10.1215/kjm/1248983033

Information

Published: 2009
First available in Project Euclid: 30 July 2009

zbMATH: 1180.14057
MathSciNet: MR2531136
Digital Object Identifier: 10.1215/kjm/1248983033

Subjects:
Primary: 14R20
Secondary: 13A50 , 14L30

Rights: Copyright © 2009 Kyoto University

Vol.49 • No. 1 • 2009
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