Title of article :
On Theta Pairs and Theta Completions for Proper Subalgebras in Leibniz Algebras
Author/Authors :
Goudarz ، Leila Department of Mathematics - Ayatollah Boroujerdi University , Riyahi ، Zahra Department of Mathematics - University of Science and Technology of Mazandaran
Abstract :
In this paper, we investigate the structure of Leibniz algebras, using the concepts of the θ-pair and the θ-completion that are analogous to the corresponding ones in group theory and Lie algebras. In fact, using these concepts for proper subalgebras, we give some characterizations for the solvability and the supersolvability of Leibniz algebras.
Keywords :
θ , pair , θ , completion , Leibniz algebra , Solvable , Supersolvable
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
