NORMAL INJECTIVE RESOLUTION OF GENERAL KRASNER HYPERMODULES

In this paper, we construct the concept of general Krasner hyperring based on the ring structures and the left general Krasner hypermodule based on the module structures. This study introduces the trivial left general Krasner hypermodules and proves that the trivial left general Krasner hypermodules are different from left Krasner hypermodules. We show that for any given general Krasner hyperring and trivial left general Krasner hypermodules permodule and Rhom( Rhom( ) is a left general Krasner hy), (Rhom( )) is an exact covariant functor (contravariant). Finally, we show that the category RGKHmod(left trivial general Krasner hypermodules and all homomorphisms) is an abelian category and trivial left general Krasner hypermodules have a normal injective resolution.