RT Dissertation/Thesis
T1 Higman-Neumann-Neumann extension and embedding theorems for Leibniz algebras
A1 Zargeh, Chia
K1 Álgebras de Leibniz y de Lie
K1 Diálgebras
K1 Bases de Groebner-Shirshov
K1 Extensiones HNN
K1 Teoremas de encaje
AB In this work we introduce the Higman-Neumann-Neumann (HNN)-extensions and the appropriate embedding theorems for dialgebras andLeibniz algebras.Due to the importance of the connection between the dialgebras andLeibniz algebras and the relationship between associative algebras andLie algebras, we recall the theory of Groebner-Shirshov bases, and theComposition-Diamond Lemma in associative algebras and Lie algebras,as well as the theory of Groebner-Shirshov bases for dialgebras.As an application of the HNN-extensions of dialgebras and Leibnizalgebras, we provide embedding theorems for dialgebras and Leibniz algebras,respectively: every dialgebra embeds inside its any HNN-extensionand every Leibniz algebra embeds inside its any HNN-extension.
YR 2018
FD 2018
LK http://hdl.handle.net/10347/17252
UL http://hdl.handle.net/10347/17252
LA eng
DS Minerva
RD 24 abr 2026