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Derivation algebras
of finitely generated Witt rings
Robert Fitzgerald |
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Vol. 128 (1987), No. 2, 265–297
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Abstract |
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We consider derivations of an abstract Witt ring R. Denote the collection of derivations by Der(R); it is a Lie algebra under the usual bracket operation. The structure of Der(R) is closely related to the structure of the torsion part of R, which is the part least understood. After a lengthy computation of Der(R) for finitely generated Witt rings of elementary type, we classify the Witt rings in the following cases: (i) Der(R) = 0, (ii) Der(R) is a simple algebra, and (iii) the fundamental ideal of R is not differentiable. |
Mathematical Subject Classification 2000
Primary: 11E81
Secondary: 11E04
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Milestones
Received: 28 March 1986
Published: 1 June 1987
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Authors |
| Robert Fitzgerald | |
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