On the c-nilpotent multiplier of a pair of Lie algebras

被引：4

作者：

Safa, Hesam ^{[1
]}

Arabyani, Homayoon ^{[2
]}

Norouzi, Morteza ^{[1
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

[2] Islamic Azad Univ, Neyshabur Branch, Dept Math, Neyshabur, Iran

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 97卷 / 1-2期

关键词：

c-cover; c-nilpotent multiplier; pair of Lie algebras; SCHUR MULTIPLIER; UPPER-BOUNDS; DIMENSION; COVERS;

D O I：

10.5486/PMD.2020.8876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 1 -> R -> F -> L -> 1 be a free presentation of a Lie algebra L, and N be an ideal in L. In [14], the first two authors of the present paper defined and studied the notion of the c-nilpotent multiplier of a pair (N, L) of Lie algebras as M-(c) (N, L) = (R boolean AND [S,(c) F])/[R,(c) F], where S is an ideal in F such that S/R congruent to N. In this paper, we give some results on c-covers of a pair of Lie algebras as well as several inequalities for the dimension of the c-nilpotent multiplier of a pair of nilpotent Lie algebras.

引用

页码：253 / 264

页数：12

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