In this paper, we provide the basic properties of (semi) simple hypermodules. We show that
if a hypermodule M is simple, then (E nd (M),·) is a group, where E nd (M) is the set of all …

In this study, the role of supplements in Krasner hypermodules is examined and related to
normal π-projectivity. We prove that the class of supplemented Krasner hypermodules is …

We introduce primitive hyperideals of a hyperring R and show relations with R itself, and
with maximal and prime hyperideals of R. We endow a Jacobson topology on the set of …

We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a
direct summand of A, and we also call A semiregular if every finitely generated …

We introduce primitive hyperideals of a hyperring $ R $ and show how they are related to $
R $ itself, and to maximal and prime hyperideals of $ R $. We endow a Jacobson topology …

In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as
a generalization of the prime hyperideal of commutative hyperrings. In particular, we …