… is to investigate serial modules and their endomorphism rings. In particular… serial modules
over domains, but not in general. We shall construct the endomorphism ring of a serial module …

… More can be said about the structure of modules over a serial ring. In section two we show
that the endomorphism ring of a projective module over a serial ring is a local serial ring (…

… a ring C we shall denote always by ec the category of all right Cmodules and by Endc(M) the
C-endomorphism ring of … over a commutative or completely primary uni-serial ring, are also …

… modules with serial Artinian endomorphism rings. It is well known that, over a serial Artinian
ring, … module is finitely generated serial, quasi-projective, and quasi-injective [3,5]. A nonzero …

… that the endomorphism ring of a minimal generator cogenerator module over a serial ring is
again serial. … that the endomorphism rings of modules over a serial ring are serial. Let R be a …

… is projective?", and the answer is that they are precisely the Artinian hereditary serial
rings (see [7; Theorem 2.15]). We shall obtain this characterisation as a consequence of the …

… For another interesting example, we show in Section 2 that every serial ring is exact. This is
… simple ring, R0 is considered a subring of the endomorphism ring D of the left RA-module M. …

… endomorphism ring of an indecomposable projective module over a semiperfect ring is a
local ring, from which it follows that any finitely generated projective module has the exchange …

… all the modules Mj,i have a local endomorphism ring End(Mj,i), depend on two invariants.
This behavior is very similar to that of directsum decompositions of serial modules of finite …

… Moreover, it is worth noting that uniserial and serial modules and rings (eg, valuation rings),
… (M) the endomorphism ring and the lattice of all submodules of the module M, respectively. …