On the subalgebra lattice of a Leibniz algebra

Siciliano, Salvatore and Towers, David (2021) On the subalgebra lattice of a Leibniz algebra. Communications in Algebra. ISSN 0092-7872

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Abstract

In this paper we begin to study the subalgebra lattice of a Leibniz algebra. In particular, we deal with Leibniz algebras whose subalgebra lattice is modular, upper semi-modular, lower semi-modular, distributive, or dually atomistic. The fact that a non-Lie Leibniz algebra has fewer one-dimensional subalgebras in general results in a number of lattice conditions being weaker than in the Lie case.

Item Type:
Journal Article
Journal or Publication Title:
Communications in Algebra
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
ID Code:
158055
Deposited By:
Deposited On:
06 Aug 2021 09:45
Refereed?:
Yes
Published?:
Published
Last Modified:
26 Oct 2021 00:21