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Perfect and semiperfect restricted enveloping algebras

Published 20 Oct 2016 in math.RA | (1610.06516v1)

Abstract: 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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