[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 …
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) …
The Krull-Schmidt theorem holds for finite direct products of biuniform groups
A Facchini, A Lucchini - Algebras and Representation Theory, 2018 - Springer
We prove that the Krull-Schmidt Theorem holds for finite direct products of biuniform groups,
that is, groups G whose lattice of normal subgroups 𝓝 (G) N(G) has Goldie dimension and …
that is, groups G whose lattice of normal subgroups 𝓝 (G) N(G) has Goldie dimension and …