Maximal ideals in preadditive categories and semilocal categories
A Facchini, M Perone - Journal of Algebra and Its Applications, 2011 - World Scientific
The first aim of this article is to study maximal ideals of a preadditive category. Maximal
ideals, which do not exist in general for arbitrary preadditive categories, are associated to a …
ideals, which do not exist in general for arbitrary preadditive categories, are associated to a …
Direct sum decompositions and weak Krull-Schmidt Theorems
M Perone - 2011 - research.unipd.it
In this thesis we discuss the behaviour of direct sum decomposition in additive categories
and in particular in categories of modules. In the first part of the thesis, we investigate the …
and in particular in categories of modules. In the first part of the thesis, we investigate the …
Properties of Abelian Groups Determined by Their Endomorphism Ring
U Albrecht - Groups, Modules, and Model Theory-Surveys and …, 2017 - Springer
The goal of this paper is to give a survey of how endomorphism rings can be used to study
the behavior of modules. While the first part considers modules over arbitrary rings, the …
the behavior of modules. While the first part considers modules over arbitrary rings, the …