Vol. 132, No. 1, 1988

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Simplicity of partial and Schmidt differential operator rings

Dennis R. Malm

Vol. 132 (1988), No. 1, 85–112
Abstract

In this paper we develop necessary and sufficient conditions for certain differential operator rings to be simple. We do this for a ring with finitely many commuting derivations and for a ring with a commuting Schmidt higher derivation of finite length. Also we give a correspondence between finite sets of derivations and Schmidt higher derivations.

Mathematical Subject Classification
Primary: 16A72, 16A72
Milestones
Received: 4 September 1986
Published: 1 March 1988
Authors
Dennis R. Malm