Perfect and semiperfect restricted enveloping algebras
classification
🧮 math.RA
keywords
restrictedalgebraenvelopingperfectsemiperfectalgebrasconditionsfinite-dimensional
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For a restricted Lie algebra $L$, the conditions under which its restricted enveloping algebra $u(L)$ is semiperfect are investigated. Moreover, it is proved that $u(L)$ is left (or right) perfect if and only if $L$ is finite-dimensional.
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