… of any R-module are projective covers, we study on the rings over which flat covers of …
Now we give an analogous characterization of this fact for mdmodules over any ring. It is well …

… on a principal ring. We show that every finitely generated module over a Dedekind ring A
is … Then S= End A (M) is semi-perfect and its Jacobson Radical is a nil-ideal ([41], Corollary …

… We can extend in Dedekind rings the description of finitely generated module on a principal
ring. We show that every finitely generated module over a Dedekind ring A is isomorphic to a …

… In this paper, we characterize semi-quasi-Hamsher module(for … a ring R right quasi-perfect
if every Artinian right Rmodule has … a ring R is right quasi perfect if and only if it is semi perfect …

… modules (or C3-modules) and then we can characterize a semisimple artinian ring via D3-covers
or D3-envelopes as follows: A ring … and only if every right R-module has a D3-cover (D3…

… module satisfies summand intersection property(SIP), summand sum property(SSP). Furthermore,
we characterize several rings … Let a module M is projective, semi perfect, duo and self …

… (respectively, characteristic) submodule in X if α(… modules are arithmetical. This yields a
large number of examples of noncommutative arithmetical rings since many of semi-perfect rings …

… a regular ring R the class of finitely generated projective modules … , we characterize rings
over which the class of all R-modules … that such rings are precisely the pure-semisimple rings (…

… Since A is semi-perfect we can assume that the projective modules P(λ) are the projective
covers of ∆(λ). Hence, if P(m) is the progenerator giving the Morita equivalence between A and …

… module and ring theory presented in books [1], [2], [3] and [4]. … rings with identity, denoted
as R, and the modules unital left … characterize the rings over which all (projective) modules are …