Perfect and semiperfect restricted enveloping algebras

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• 作者：Salvatore Siciliano^a ; ^{salvatore.siciliano@unisalento.it} ; Hamid Usefi^b ; ¹ ; ^usefi@mun.ca
• 关键词：17B35 ; 16P70 ; 17B50
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：507-518
• 全文大小：328 K
• 卷排序：472

文摘

For a restricted Lie algebra L  , 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 L is finite-dimensional.