… projective modules and their endomorphism rings. Specifically, the basic problem is to
describe the projective modules whose endomorphism rings … Call a projective module regular if …

… Throughout this section PR denotes a finitely generated projective module, T its trace
ideal, C = End (PR), RPc = Horn (CPR, RRR) and, for XR, X'c = Horn (CPR, XR). Definition …

… to include the endomorphism ring of an arbitrary projective module. In the process we offer …
is forced to go outside the projective module to an associated free module. This should not be …

… Let RP be a projective R-module and E = End,(P) be its endomorphism ring. If P is finitely
generated as an R-module, then the basic theory of the relations between R, E, P, and its dual …

… Over a ring A let PA be a finitely generated projective right Amodule with A-endomorphism
ring B. Let T be the trace of PA and P* = Hom^P, A) be the A-dual of P Injectors, flatjectors, …

… n if and only if P is an n-epi-projective module. This generalizes a recent result of Canfell [3] …
for projective modules. In section 3, we will study the properties of n-epi-projective modules. …

… -projective module or an E-flat module. We believe that this common property is the reason
that similar results have been proved for endomorphism rings of quasi-projective modules …

… is an A-module having a finite resolution of finitely generated projective modules. Some
of the … Furthermore 2~(f) is defined for f = chain map of complexes (or map of graded A-modules). …

… We also prove that if M is a semi-projective and 7r-projective module w DCC on the submodules
of the form IM (I < S's), then 5 is a semiprimary For the undefined notion in this paper we …

… ring of a finitely generated PP-module over a Noetherian ring, by means of an …
endomorphism ring of a projective module be prime. In Sect. 2, some results about PP-modules …