[图书][B] Semilocal categories and modules with semilocal endomorphism rings
A Facchini - 2019 - Springer
Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …
Direct-sum decompositions of modules with semilocal endomorphism rings
A Facchini - Bulletin of Mathematical Sciences, 2012 - Springer
According to the classical Krull–Schmidt Theorem, any module of finite composition length
decomposes as a direct sum of indecomposable modules in an essentially unique way, that …
decomposes as a direct sum of indecomposable modules in an essentially unique way, that …
On Some Noteworthy Pairs of Ideals in Mod-R
A Facchini, M Perone - Applied Categorical Structures, 2014 - Springer
An additive functor F:\mathcalA→\mathcalB between preadditive categories \mathcalA and
\mathcalB is said to be a local functor if, for every morphism f:A→A' in \mathcalA, F (f) …
\mathcalB is said to be a local functor if, for every morphism f:A→A' in \mathcalA, F (f) …
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 …
[PDF][PDF] RINGS WITH AT MOST TWO MAXIMAL IDEALS, DIRECT SUMS AND PRODUCTS
A FACCHINI - cdmathtu.edu.np
In general, for an arbitrary module MR that is not a direct sum of modules with local
endomorphism rings, the “essential uniqueness” of the statement of the previous theorem …
endomorphism rings, the “essential uniqueness” of the statement of the previous theorem …