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Modularity conditions in Leibniz algebras.
- Source :
-
Journal of Algebra & Its Applications . Feb2024, p1. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are either almost-abelian or have an abelian ideal spanned by the elements with square zero. We also study Leibniz algebras in which every subalgebra is a weak quasi-ideal, as well as modular symmetric Leibniz algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175418679
- Full Text :
- https://doi.org/10.1142/s0219498825501919