@Article{CMR-25-1,
author = {Wu, Mingzhong},
title = {The Lie Algebras in which Every Subspace Is Its Subalgebra},
journal = {Communications in Mathematical Research },
year = {2009},
volume = {25},
number = {1},
pages = {1--8},
abstract = {<p style="text-align: justify;">In this paper, we study the Lie algebras in which every subspace is its
subalgebra (denoted by HB Lie algebras). We get that a nonabelian Lie algebra is
an HB Lie algebra if and only if it is isomorphic to $g\dot{+}\mathbb{C}id_g$, where $g$ is an abelian
Lie algebra. Moreover we show that the derivation algebra and the holomorph of a
nonabelian HB Lie algebra are complete.</p>},
issn = {2707-8523},
doi = {https://doi.org/2009-CMR-19070},
url = {https://global-sci.com/article/81924/the-lie-algebras-in-which-every-subspace-is-its-subalgebra}
}