We answer a question posed by Auslander and Bridger. Every homomorphism of modules is
projective-stably equivalent to an epimorphism but is not always to a monomorphism. We …

PURE MORPHISMS OF COMMUTATIVE RINGS ARE EFFECTIVE DESCENT MORPHISMS
FOR MODULES – A NEW PROOF Page 1 Theory and Applications of Categories, Vol. 7, No. 3 …

An endomorphism α of a module RM is called morphic if M/Mα ࣅ ker (α), that is if the dual of
the isomorphism theorem holds for α. The module RM is called a morphic module if every …

Full article: A Note on the Composite of Two Irreducible Morphisms Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

By Rickard's work, two rings are derived equivalent if there is a tilting complex, constructed
from projective modules over the first ring such that the second ring is the endomorphism …

Introduction. In [7] and [8] we have determined the isomorphisms of the endomorphism rings
of two special classes of torsion-free modules. In [7] the modules were free, over principal …

In this paper we study modules coinvariant under automorphisms of their projective covers.
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …

Serre's theorem on projective modules says roughly that if a projective R module is big
enough it can map onto R. Forster and Swan discuss how big a free module is needed to …

Our concern is with modules M such that every homomorphism from a closed submodule of
M to M can be lifted to M. Although such modules share some of the properties of extending …

Let Λ be an artin algebra. In his seminal Philadelphia Notes published in 1978, Auslander
introduced the concept of morphisms being determined by modules. Auslander was very …