Title : ( Some Properties On Isoclinism inn-Lie Algebras )
Authors: M. Eshrati , Mohammad Reza Rajabzadeh Moghaddam , F. Saeedi ,
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Abstract
The concept of n-Lie algebra were introduced by Filippov in 1987. One notes that not all properties of Lie algebras can be carried over to n-Lie algebras, as Williams showed in 2009. In the present article, among other results it is shown that the notions of isoclinism and isomorphism for two finite dimensional n-Lie algebras of the same dimension are equivalent. This was already done for ordinary Lie algebras by Moneyhun in 1994.
Keywords
, Isoclinism, n-Lie algebra, Stem Lie algebra, Universal element
@article{paperid:1068737,
author = {M. Eshrati and Rajabzadeh Moghaddam, Mohammad Reza and F. Saeedi},
title = {Some Properties On Isoclinism inn-Lie Algebras},
journal = {Communications in Algebra},
year = {2016},
volume = {44},
number = {7},
month = {July},
issn = {0092-7872},
pages = {3005--3019},
numpages = {14},
keywords = {Isoclinism; n-Lie algebra; Stem Lie algebra; Universal element},
}
%0 Journal Article
%T Some Properties On Isoclinism inn-Lie Algebras
%A M. Eshrati
%A Rajabzadeh Moghaddam, Mohammad Reza
%A F. Saeedi
%J Communications in Algebra
%@ 0092-7872
%D 2016
