Abstract: In this study, the role of supplements in Krasner hypermodules is examined and related to normal p-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.Keywords: direct summand, normal p-projective hypermodule, supplement subhypermodule, small subhypermodulePublished in RUNG: 06.06.2022; Views: 1461; Downloads: 0This document has many files! More...
Keywords: normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroupPublished in RUNG: 11.02.2022; Views: 1919; Downloads: 34 Link to full textThis document has many files! More...