HNN-extensions of Leibniz algebras

2019 ◽  
Vol 532 ◽  
pp. 183-200 ◽  
Author(s):  
Manuel Ladra ◽  
Mohammad Shahryari ◽  
Chia Zargeh
Keyword(s):  
Leibniz Algebras ◽  
Hnn Extensions

scholarly journals Existentially closed Leibniz algebras and an embedding theorem

2021 ◽  
Vol 29 (2) ◽  
pp. 163-170
Author(s):  
Chia Zargeh
Keyword(s):  
Embedding Theorem ◽  
Leibniz Algebras ◽  
Existentially Closed ◽  
Hnn Extensions

Abstract In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.

On solvable Leibniz algebras whose nilradical has characteristic sequence (m1,m2,m3)

2018 ◽  
Vol 2018 (3) ◽  
pp. 4-17
Author(s):  
K.K. Abdurasulov ◽  
Drew Horton ◽  
U.X. Mamadaliyev
Keyword(s):  
Characteristic Sequence ◽  
Leibniz Algebras

scholarly journals The residual finiteness of HNN-extensions and generalized free products of nilpotent groups: a characterization

1992 ◽  
Vol 53 (3) ◽  
pp. 408-420 ◽  
Author(s):  
E. Raptis ◽  
D. Varsos
Keyword(s):  
Nilpotent Groups ◽  
Residual Finiteness ◽  
Finitely Generated ◽  
Free Products ◽  
Hnn Extensions ◽  
Base Group ◽  
Generalized Free Products

AbstractWe study the residual finiteness of free products with amalgamations and HNN-extensions of finitely generated nilpotent groups. We give a characterization in terms of certain conditions satisfied by the associated subgroups. In particular the residual finiteness of these groups implies the possibility of extending the isomorphism of the associated subgroups to an isomorphism of their isolated closures in suitable overgroups of the factors (or the base group in case of HNN-extensions).

scholarly journals Naturally Graded 2-Filiform Leibniz Algebras

2010 ◽  
Vol 38 (10) ◽  
pp. 3671-3685 ◽  
Author(s):  
L. M. Camacho ◽  
J. R. Gómez ◽  
A. J. González ◽  
B. A. Omirov
Keyword(s):  
Leibniz Algebras

HIGH DIMENSIONAL KNOT GROUPS AND HNN EXTENSIONS OF THE FIBONACCI GROUPS

1998 ◽  
Vol 07 (04) ◽  
pp. 503-508 ◽  
Author(s):  
ANDRZEJ SZCZEPAŃSKI
Keyword(s):  
High Dimensional ◽  
New Class ◽  
Hnn Extensions

We shall present a new class of examples of high dimensional knot groups. All of them are HNN extensions of the Fibonacci groups. We give also some characterization of these groups.

On Description of Leibniz Algebras Corresponding to sl 2

2012 ◽  
Vol 16 (5) ◽  
pp. 1507-1519 ◽  
Author(s):  
B. A. Omirov ◽  
I. S. Rakhimov ◽  
R. M. Turdibaev
Keyword(s):  
Leibniz Algebras
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