摘要
对限制李超代数的一些p-理想与Frattini p-理想紧密联系的性质进行了讨论,给出p-基本限制李超代数和E-p-限制李超代数的一些结果,证明L是E-p-限制李超代数当且仅当L/φ_p(L)是p-基本的,研究了p-理想E_p(L)(其中E_p(L)是含于一切满足L/A是p-基本的所有p-理想A的交),描述限制李超代数的Frattini p-理想和某些p-理想之间的关系．
In the present paper, the authors discuss the properities of some p-ideals of a restricted Lie superalgebra （L, [p]） closely related to its Frattini p-ideal, give some results of p-elementary and E-p-restricted Lie superalgebras, prove that L is an E-p-restricted Lie superalgebra if and only if L/φp（L） is p-elementary, investigate a unique p-ideal Ep（L） which has the property that it is contained in any p-ideal A of L for which L/A is p-elementary, describe the relationship between the Frattini p-ideal and some p-ideals for a restricted Lie superalgebra.
出处
《数学年刊（A辑）》
CSCD
北大核心
2006年第5期649-662,共14页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10271076)
东北师范大学青年科学基金(No.111494027)资助的项目
