Dimension of the c-nilpotent multiplier of Lie algebras

被引：2

作者：

Araskhan, Mehdi ^{[1
]}

Rismanchian, Mohammad Reza ^{[2
]}

机构：

[1] Islamic Azad Univ, Yazd Branch, Dept Math, Yazd, Iran

[2] Shahrekord Univ, Dept Pure Math, Shahrekord, Iran

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2016年 / 126卷 / 03期

关键词：

c-Nilpotent multiplier; nilpotent Lie algebra; tensor product; INEQUALITIES;

D O I：

10.1007/s12044-016-0288-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of finite dimensional Lie algebras and their factor Lie algebras. We further obtain an inequality between dimensions of c-nilpotent multiplier of Lie algebra L and tensor product of a central ideal by its abelianized factor Lie algebra.

引用

页码：353 / 357

页数：5

共 50 条

[1] Dimension of the c-nilpotent multiplier of Lie algebras
MEHDI ARASKHAN
MOHAMMAD REZA RISMANCHIAN
[J]. Proceedings - Mathematical Sciences, 2016, 126 : 353 - 357
[2] On Dimension of c-Nilpotent Multiplier of a Pair of Lie Algebras
Arabyani, H.
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (03) : 305 - 312
[3] Some inequalities for the dimension of the c-nilpotent multiplier of Lie algebras
Salemkar, Ali Reza
Edalatzadeh, Behrouz
Araskhan, Mehdi
[J]. JOURNAL OF ALGEBRA, 2009, 322 (05) : 1575 - 1585
[4] BOUNDS FOR THE DIMENSION OF THE c-NILPOTENT MULTIPLIER OF A PAIR OF LIE ALGEBRAS
Arabyani, H.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (07): : 2411 - 2418
[5] On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras
Biyogmam, Guy R.
[J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (03) : 1091 - 1098
[6] On the c-nilpotent multiplier of a pair of Lie algebras
Safa, Hesam
Arabyani, Homayoon
Norouzi, Morteza
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020, 97 (1-2): : 253 - 264
[7] Some properties of the c-nilpotent multiplier of Lie algebras
Salemkar, Ali Reza
Riyahi, Zahra
[J]. JOURNAL OF ALGEBRA, 2012, 370 : 320 - 325
[8] Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras
Arabyani, Homayoon
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (01) : 205 - 212
[9] The c-nilpotent Schur Lie-multiplier of Leibniz algebras
Biyogmam, G. R.
Casas, J. M.
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2019, 138 : 55 - 69
[10] The dimension of the c-nilpotent multiplier
Araskhan, Mehdi
[J]. JOURNAL OF ALGEBRA, 2013, 386 : 105 - 112

← 1 2 3 4 5 →