Abstract:
In this thesis, some almost injective modules and almost projective modules are investigated.
We give some new properties of almost injective modules and their endomorphism rings
and also provide conditions as to when a direct sum of almost injective (or CS) modules
is again almost injective (or CS) in some special cases.
We also describe rings over which every right module is almost injective. Moreover,
we give a description of rings over which every simple module is almost projective. In
addition, the characterization of the module M such that every simple module is almost
projective (respectively, almost injective) in the category δ(M) is discussed.
