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Enveloping algebras that are principal ideal rings
Published 3 Jan 2017 in math.RA | (1701.00768v1)
Abstract: Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finite-dimensional torus by a cyclic restricted Lie algebra.
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