… rings and modules with a semilocal endomorphism ring. If R is a semilocal ring and MR
is a finitely presented module, then End(MR) is a semilocal ring [Facchini and Herbera 2006, …

The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

… For a ring C we shall denote always by ec the category of all right Cmodules and by Endc(M)
the C-endomorphism ring of a right C-module M. With these notations we have …

… that the category prin(KI) of finite-dimensional prinjective right modules over the incidence
K-algebra KI of I (defined below) is of infinite representation type if and only if the category prin…

… for the case of % being a Grothendieck category (Proposition 2.7). Finally, … modules M such
that the endomorphism ring S of M is a left semihereditary ring (Theorem 3.2), a left CS-ring (…

… The module is divided into the left module and the right module. Module 𝑀 over ring 𝑅 is
generally a left module over a ring in … The module 𝑀 over ring 𝑅 is written as 𝑅 −module 𝑀. In a …

… of the rings that can be realized as endomorphism rings of artinian modules, and serial rings
… In this book we shall deal only with elementary category theory. We introduce it in order to …

… ) full embedding of the category of torsion-free reduced /{-modules into the category flWalk,
… established results from the category of reduced torsion-free /{-modules to the categoryflWalk…

… artinian ring modulo the Jacobson radical. Then we concentrate on those modules whose
endomorphism ring is of finite type, that is, a finite direct product of division rings modulo the …

… in C ${\mathcal {C}}$ is a local ring, … endomorphism ring in C ${\mathcal {C}}$ of a compact
object is not finitely presented as a module over the endomorphism ring of the trivial module. …