Supplements Related to Normal ?-Projective Hypermodules

Abstract

In this study, the role of supplements in Krasner hypermodules is examined and related to normal pi-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients. Moreover, we give characterizations of finitely generated supplemented and amply supplemented Krasner hypermodules. In the second part of the paper we relate the normal projectivity to direct summands and supplements in Krasner hypermodules.