Abstract:
The Kopytov's order for any algebras over a field is considered. Some results concerned with the properties of a factoralgebra for a lattice $\mathcal{K}$-ordered algebras and its $l$-prime radical are obtained. Also, some results concerned with the properties of ordered homomorphisms, strictly ordered homomorphisms and lattice homomorphisms of lattice ordered algebras are presented.
Keywords:lattice $\mathcal{K}$-ordered algebra over a field, ordered homomorphism, prime ideal, prime radical.