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.
Perfect and semiperfect restricted enveloping algebras
SICILIANO, Salvatore;
2017-01-01
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.File in questo prodotto:
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