n-代数的广义Frattini理想

吉林大学学报(理学版)

n-代数的广义Frattini理想

关宝玲

齐齐哈尔大学理学院, 黑龙江齐齐哈尔 161006

收稿日期:2015-04-29 出版日期:2016-01-26 发布日期:2016-01-19
通讯作者: 关宝玲 E-mail:baolingguan@126.com

Generalized Frattini Ideals of Leibni|-n-Algebras

GUAN Baoling

School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China

Received:2015-04-29 Online:2016-01-26 Published:2016-01-19
Contact: GUAN Baoling E-mail:baolingguan@126.com

摘要/Abstract

摘要：

把李代数的广义Frattini理想性质推广到Leibniz-n-代数, 得到了Leibniz-n-代数广义Frattini理想的判定定理, 并给出Leibniz-n-代数幂零根与核心的性质.

关键词: Leibniz-n-代数, 广义Frattini理想, 幂零根, 核心

Abstract:

The author generalized some properties of the generalized Frattini ideals of Lie algebras to Leibniz-n-algebras and obtained some theorems of generalized Frattini ideals of Leibniz-n-algebras. Moreover, the author gave some properties of nilpotent radicals and cores for Leibniz-n-algebras.

Key words: Leibniz-n-algebras, generalized Frattini ideals; nilpotent radical, core

中图分类号:

O152.5

关宝玲. n-代数的广义Frattini理想[J]. 吉林大学学报(理学版), 2016, 54(01): 27-30.

GUAN Baoling. Generalized Frattini Ideals of Leibni|-n-Algebras[J]. Journal of Jilin University Science Edition, 2016, 54(01): 27-30.

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