Title : ( Some inequalities for the multiplier of a pair of n-Lie algebras )
Authors: Azam Kafimousavi , Mohammad Reza Rajabzadeh Moghaddam , M. Eshrati ,
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Abstract
ABSTRACT. Let (I;A) be a pair of n-Lie algebras. Then we introduce the concept of Schur multiplier of the pair (I;A), denoted by M(I;A), and some inequalities, for the dimension of M(I;A) are given. We also determine a necessary and sufficient condition, for which the Schur multiplier of a pair of n-Lie algebras can be embedded into the Schur multipliers of their n-Lie algebra factors. Moreover, some inequalities for the Schur multiplier of a pair of finite dimensional nilpotent n-Lie algebras are acquired.
Keywords
, n-Lie Algebra, Schur multiplier, pair of n-Lie algebras
@article{paperid:1068527,
author = {Kafimousavi, Azam and Rajabzadeh Moghaddam, Mohammad Reza and مهدی عشرتی},
title = {Some inequalities for the multiplier of a pair of n-Lie algebras},
journal = {Asian-European Journal of Mathematics},
year = {2019},
volume = {12},
number = {2},
month = {April},
issn = {1793-5571},
pages = {1950028--138},
numpages = {-1949890},
keywords = {n-Lie Algebra; Schur multiplier; pair of n-Lie algebras},
}
%0 Journal Article
%T Some inequalities for the multiplier of a pair of n-Lie algebras
%A Kafimousavi, Azam
%A Rajabzadeh Moghaddam, Mohammad Reza
%A مهدی عشرتی
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2019
