Enveloping algebras that are principal ideal rings
classification
🧮 math.RA
keywords
algebrarestrictedenvelopingidealprincipalalgebrascharacteristiccyclic
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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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