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 …
Some natural additive decompositions of elements in bimodules
A Alahmadi, A Facchini, F Pagliuca - Journal of Pure and Applied Algebra, 2022 - Elsevier
We consider a small category naturally associated with any fixed RS-bimodule MS R. The
class of objects of this category is the underlying set M of MS R. Some additive …
class of objects of this category is the underlying set M of MS R. Some additive …
Factorizations of elements in local rings and semilocal rings of finite type
MJ Arroyo Paniagua, A Facchini… - Journal of Algebra and Its …, 2020 - World Scientific
Factorizations of elements in local rings and semilocal rings of finite type Page 1 Journal of
Algebra and Its Applications Vol. 19, No. 12 (2020) 2050234 (24 pages) c© World Scientific …
Algebra and Its Applications Vol. 19, No. 12 (2020) 2050234 (24 pages) c© World Scientific …
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 …
[PDF][PDF] An overview on non-unique factorization
F Campanini - Seminario Dottorato 2019/20 - dottorato.math.unipd.it
These notes would be a gentle approach to (some aspects of) the theory of non-unique
factorizations. In the first section, we introduce the very basics of this theory in the framework …
factorizations. In the first section, we introduce the very basics of this theory in the framework …