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math.GR2012
Completions of Lie Algebras
M. Shahryari
A Lie algebra over a field of characteristic zero is called a completion of a rational Lie algebra , if it contains as -subalgebra and the -span of $L…
math.GR2012
Simple polyadic groups
H. Khodabandeh, M. Shahryari
The main aim of this article is to establish a classification of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of si…
math.GR2012
Polyadic groups and automorphisms of cyclic extensions
M. Shahryari
We show that for any -ary group , the group can be embedded in and so we can obtain a class of interesting automorphisms of cy…