Two new kinds of orthomodular lattices: Nilpotent and Engel orthomodular lattices
Ardavan Najafi · Discrete Mathematics Algorithms and Applications · 2024
In this paper, the concepts of nilpotent and Engel orthomodular lattices, similar with the solvable orthomodular lattices are defined and their properties are investigated. The notion of [Formula: see text]-Engel orthomodular lattices as a natural generalization of distributive orthomodular lattices is introduced, and we discuss Engel orthomodular lattices, which is defined by left and right normed commutators.