The dimension of the c-nilpotent multiplier

被引：11

作者：

Araskhan, Mehdi ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2013年 / 386卷

关键词：

Schur multiplier; c-Nilpotent multiplier; Nilpotent Lie algebra; LIE-ALGEBRAS; BAER-INVARIANTS; FINITE-GROUP; INEQUALITIES;

D O I：

10.1016/j.jalgebra.2013.04.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to obtain some inequalities for the dimension of the c-nilpotent multiplier of finite dimensional nilpotent Lie algebras and their factor Lie algebras. Finally, we compare our results to upper bound given in Salemkar et al. (2009) [10]. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：105 / 112

页数：8

共 11 条

[1] REPRESENTATIONS OF GROUPS AS QUOTIENT GROUPS .1. DEDICATED TO WEYL,H ON HIS 60TH BIRTHDAY NOVEMBER 9, 1945 [J].

BAER, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 58 (NOV) :295-347

[2] On covers of Lie algebras [J].

Batten, P ;

Stitzinger, E .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) :4301-4317

[3] On characterizing nilpotent Lie algebras by their multipliers [J].

Batten, P ;

Moneyhun, K ;

Stitzinger, E .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) :4319-4330

[4] ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS [J].

Bosko, Lindsey R. .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2010, 20 (06) :807-821

[5] Inequalities for Baer invariants of finite groups [J].

Burns, J ;

Graham, E .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1998, 41 (04) :385-391

[6]

Hall M., 1956, THEORY GROUPS

[7] SOME INEQUALITIES FOR MULTIPLICATOR OF A FINITE-GROUP .2. [J].

JONES, MR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :167-172

[8] SOME INEQUALITIES FOR MULTIPLICATOR OF A FINITE-GROUP [J].

JONES, MR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (03) :450-456

[9]

LEEDHAMGREEN CR, 1976, ACTA MATH-DJURSHOLM, V137, P99, DOI 10.1007/BF02392415

[10] Some inequalities for the dimension of the c-nilpotent multiplier of Lie algebras [J].

Salemkar, Ali Reza ;

Edalatzadeh, Behrouz ;

Araskhan, Mehdi .

JOURNAL OF ALGEBRA, 2009, 322 (05) :1575-1585

← 1 2 →