O-homomorphisms of Almost Distributive Lattices
Keywords:
Almost Distributive Lattice(ADL), Filter, O-homomorphism, O-ideal, Contraction, Kernel of a homomorphismAbstract
The concept of -homomorphisms is introduced in an Almost Distributive Lattice (ADL). A sufficient condition for a homomorphism to become an
-homomorphism is derived. Finally, it is proved that the image and the inverse image of an
-ideal of an ADL under an
-homomorphism are again
-ideals.