In the present paper, the right dc-Noetherianity for S-posets is defined and studied. Some fundamental properties of right dc-Noetherian S-posets are presented, and the relation of right dc-Noetherian S-posets with sub S-posets, factor S-posets, products, and coproducts are studied. Finally, the relations between right po-Noetherian S-posets, right dc-Noetherian S-posets and right Noetherian ordered pomonoids are investigated.
