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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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:
?? restricted lie algebrarestricted subalgebrafrattini p-idealdually atomisticrestricted quasi-ideallower semimodularupper semimodularj-algebrasupersolvablealgebra and number theorydiscrete mathematics and combinatoricsgeometry and topologynumerical analysis ??
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Deposited On:
21 Dec 2022 16:40
Last Modified:
31 Mar 2024 01:15