[图书][B] Module theory: endomorphism rings and direct sum decompositions in some classes of modules

A Facchini - 2012 - books.google.com
… For instance, we study the class of the rings that can be realized as endomorphism rings
of artinian modules, and serial rings belonging to this class are characterized. We introduce …

Serial modules and endomorphism rings

TS Shores, WJ Lewis - 1974 - projecteuclid.org
… is to investigate serial modules and their endomorphism rings. In particular, … modules over
domains, but not in general. We shall construct the endomorphism ring of a serial module by …

Modules finite over endomorphism ring

PM Cohn, V Dlab, CM Ringel, C Faith, L Fuchs… - … on rings and modules, 1972 - Springer
… V, or QI, ring to simple rings. The latter are characterized as those right Noetherian rings
for which the endomorphism ring of any indecomposable injective right module is a field (see …

Modules with Abelian endomorphism rings

G Călugăreanu, P Schultz - Bulletin of the Australian Mathematical …, 2010 - cambridge.org
modules whose endomorphism ring is ‘almost commutative’. For example, we describe classes
of modules whose endomorphism rings have … We also consider modules for which direct …

[图书][B] Categories of modules over endomorphism rings

TG Faticoni - 1993 - books.google.com
… We view Morita's Theorems and their generalizations as instructive examples of the interactions
between module structure, endomorphism rings, and modules over endomorphism rings

[PDF][PDF] Endomorphism rings and category equivalences

JL Garcia, M Saorin - Journal of Algebra, 1989 - core.ac.uk
… 3 to characterize the modules M such that the endomorphism ring S of M is a left semihereditary
ring (Theorem 3.2), a left CS-ring (Theorem 3.5), or a left continuous ring (Proposition 3.7…

[图书][B] Endomorphism rings of Abelian groups

PA Krylov, AV Mikhalev, A Tuganbaev - 2003 - books.google.com
… group A, its endomorphism ring End(A), and the module End(4… All the main fields of the theory
of endomorphism rings have … In these sections we define endomorphism rings of modules

Modules with absolute endomorphism rings

L Fuchs, R Göbel - Israel Journal of Mathematics, 2008 - Springer
… an R-module is absolutely rigid if its endomorphism ring is just the ring of scalar multiplications
… On the other hand, recently Göbel and Shelah [15] proved that for modules of size < κ(ω) …

Endomorphism rings of modules whose cardinality is cofinal to omega

R Göbel, S Shelah - Abelian Groups, Module Theory, and …, 2019 - taylorfrancis.com
… theorems (even modulo large ideals of inessential endomorphisms) do not exist. If the …
modules of size Awith cf A= w for certain cardinals having a specified endomorphism ring as …

[PDF][PDF] On a generalization of the ring theory

N Nobusawa - 1964 - projecteuclid.org
… A ring of endomorphisms of a module plays a very important role in many parts of … property
of a ring itself is also clarified when we consider it as a ring of endomorphisms of a module. As …