3rd Meeting on Vector Measures, Integration and Applications, Eichstatt, Almanya, 01 Eylül 2008, cilt.201, ss.99-100
We show that the space of bi-orthomorphisms forms a vector lattice. The space of orthomorphisms on a semiprime f-algebra is a vector sub-lattice of the space of hi-orthomorphisms and an ideal in the case that the f-algebra is Dedekind complete.