[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 …
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 …
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 …
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 …
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…
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…
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 …
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) …
… 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 …
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 …
of a ring itself is also clarified when we consider it as a ring of endomorphisms of a module. As …
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