A NOTE ON JANOWITZ'S HULLS OF GENERALIZED ORTHOMODULAR LATTICES
Eunsoon Park, Jin-Young Chung · Communications of the Korean Mathematical Society · 2000
If G is a strict generalized orthomodular lattice and H = {I|I =( 0,x) ,x ∈ G} ,t henH is a prime idealof the Janowitz's hull J(G )o fG .I ff is the Janowitz's embedding, then the set of all commutators of f (G) equals the set of all commutators of the Janowitz's hull J(G )o fG .L etL be an OML. Then LJ(G )f or a strict GOML G if and only if there exists a proper nonprincipal prime ideal G in L. 1. Preliminaries