On the subalgebra lattice of a restricted Lie algebra

Autor: Pilar Páez-Guillán, Salvatore Siciliano, David A. Towers
Přispěvatelé: Paez-Guillan, Pilar, Siciliano, Salvatore, A. Towers., David
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: 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.
Databáze: OpenAIRE