Kernels of homomorphisms between uniform quasi-injective modules
In this paper, we study the behavior of endomorphism rings of indecomposable (uniform)
quasi-injective modules. A very natural question here is, for a morphism f: A→ B, with A, B …
quasi-injective modules. A very natural question here is, for a morphism f: A→ B, with A, B …
Auslander–Bridger modules
A Facchini, N Girardi - Communications in Algebra, 2012 - Taylor & Francis
Classically, the Auslander–Bridger transpose finds its best applications in the well-known
setting of finitely presented modules over a semiperfect ring. We introduce a class of …
setting of finitely presented modules over a semiperfect ring. We introduce a class of …
Regular biproduct decompositions of objects
N Girardi - 2012 - research.unipd.it
This thesis mainly pertains biproduct decompositions of objects in certain additive
categories that exhibit a peculiar regular behaviour. More precisely, in certain additive …
categories that exhibit a peculiar regular behaviour. More precisely, in certain additive …
Weak forms of the Krull-Schmidt theorem and Prüfer rings in distinguished constructions
F Campanini - 2019 - research.unipd.it
This thesis is divided in two chapters. The first one concerns direct-sum decompositions in
additive categories. It is well known that if a module admits a direct-sum decomposition into …
additive categories. It is well known that if a module admits a direct-sum decomposition into …