English

Perfect and semiperfect restricted enveloping algebras

Rings and Algebras 2016-10-21 v1

Abstract

For a restricted Lie algebra LL, the conditions under which its restricted enveloping algebra u(L)u(L) is semiperfect are investigated. Moreover, it is proved that u(L)u(L) is left (or right) perfect if and only if LL is finite-dimensional.

Keywords

Cite

@article{arxiv.1610.06516,
  title  = {Perfect and semiperfect restricted enveloping algebras},
  author = {Salvatore Siciliano and Hamid Usefi},
  journal= {arXiv preprint arXiv:1610.06516},
  year   = {2016}
}
R2 v1 2026-06-22T16:26:58.033Z