Siciliano, Salvatore and Towers, David
(2022)
*On the subalgebra lattice of a Leibniz algebra.*
Communications in Algebra, 50 (1).
pp. 255-267.
ISSN 0092-7872

Text (On the subalgebra lattice of a Leibniz algebra)

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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:

?? cyclicextraspecial leibniz algebrafrattini ideallie algebraslower semi-modularnilpotentsolvablesupersolvableupper semi-modularalgebra and number theory ??

Departments:

ID Code:

158055

Deposited By:

Deposited On:

06 Aug 2021 09:45

Refereed?:

Yes

Published?:

Published

Last Modified:

12 Feb 2024 00:38