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 …

The use of category equivalences for the study of endomorphism rings stems from the Morita
theorem. In a sense, this theorem can be viewed as stating that if P is a finitely generated …

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 …

Motivated by the work of Baer [1], Kaplansky gave a proof in 1954 that any isomorphism of
the endomorphism algebras of two torsion modules over a complete discrete valuation …

On splitting of module categories Page 1 Math. Z. t11, 145-150 (1969) On Splitting of Module
Categories HIROYUKI TACHIKAWA Let R be a ring and 9XR the category of all right …

Abstract, We introduce normal functors in categories of endomorphisms. We prove the
isomorphisms-inducing property of normal functors from the category of endomorphisms …

1. Introduction. As is well known, any two faithful modules over a simple ring are isomorphic
if their endomorphism rings are isomorphic. This theorem, however, cannot be extended to …

This paper could be regarded as continuation of [7] by AK Gupta and K. Varadarajan.
Throughout this paper we will be following the standard convention in ring theory. The rings …

Endomorphism rings of projective modules Page 1 Math. Z. 111, 322-332 (1969)
Endomorphism Rings of Projective Modules* FRANK W. ANDERSON Introduction Let R and S …

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 …