A new kind of ortomodular lattices

In this paper, the notion of n-Engel ortomodular lattices as a natural generalization of dis-tributive ortomodular lattices is introduced, and we discuss Engel ortomodular lattices, which is denedby left and right normed commutators.

Keywords:

Engel ortomodular lattices , commutator , solvable , Engel element.