On the subalgebra lattice of a restricted Lie algebra

Paez-Guillan, Pilar and Siciliano, Salvatore and Towers, David (2023) On the subalgebra lattice of a restricted Lie algebra. Linear Algebra and its Applications, 660. pp. 47-65. ISSN 0024-3795

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Abstract

In this paper we study the lattice of restricted subalgebras of a restricted Lie algebra. In particular, we consider those algebras in which this lattice is dually atomistic, lower or upper semimodular, or in which every restricted subalgebra is a quasi-ideal. The fact that there are one-dimensional subalgebras which are not restricted results in some of these conditions being weaker than for the corresponding conditions in the non-restricted case.

Item Type:

Journal Article

Journal or Publication Title:

Linear Algebra and its Applications

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? restricted lie algebrarestricted subalgebrafrattini p-idealdually atomisticrestricted quasi-ideallower semimodularupper semimodularj-algebrasupersolvablealgebra and number theorydiscrete mathematics and combinatoricsgeometry and topologynumerical analysis ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

182237

Deposited By:

ep_importer_pure

Deposited On:

21 Dec 2022 16:40

Refereed?:

Yes

Published?:

Published