Homomorphisms with semilocal endomorphism rings between modules

F Campanini, SF El-Deken, A Facchini - Algebras and Representation …, 2020 - Springer
… whose endomorphism ring in Morph(Mod-R) is a ring of finite type, that is, is a ring that …
of finitely many division rings, and the morphisms whose endomorphism ring in Morph(Mod-…

[PDF][PDF] Elements of a bimodule with a semilocal endomorphism ring

F Pagliuca - 2020 - thesis.unipd.it
… We will now give an example of a finitely generated module over a semilocal ring whose
endomorphism ring is not semilocal. Recall that a semiprimary ring is a semilocal ring whose …

Ring of Endomorphisms and Modules over a Ring

Y Watase - Formalized Mathematics, 2022 - sciendo.com
module over a ring such as constructing a module via a ring of endomorphism of an abelian
group and the set of all homomorphisms of modules form a module [… left modules over a ring. …

[PDF][PDF] Endomorphism rings and formal matrix rings of pseudo-projective modules

DT Tranga, BD Dungb - Filomat, 2024 - pmf.ni.ac.rs
modules and their endomorphism rings. It shows that if M is a self-cogenerator pseudo-projective
module with … the pseudo-projectivity of modules over a formal triangular matrix ring. …

The endomorphism ring of the trivial module in a localized category

JF Carlson - Mathematische Nachrichten, 2023 - Wiley Online Library
… in C ${\mathcal {C}}$ is a local ring, … endomorphism ring in C ${\mathcal {C}}$ of a compact
object is not finitely presented as a module over the endomorphism ring of the trivial module. …

Relations between endomorphism rings, injectivity, surjectivity and uniserial modules

M Altun-Özarslan, A Facchini - Journal of Algebra and Its …, 2020 - World Scientific
endomorphism ring E of an arbitrary module MR, with a particular attention to the endomorphisms
… For instance, we study the factorizations of the injective (surjective) endomorphisms of …

Cotorsion-free Abelian groups cotorsion as modules over their endomorphism rings

M Dugas, TG Faticoni - Abelian Groups, 2022 - taylorfrancis.com
groups we consider are abelian, R denotes an associative ring with identity, and M denotes
a left R-module … We call Ma cotorsion-free left R-module, and if R+ is a cotorsion-free group …

Topologically semisimple and topologically perfect topological rings

L Positselski, J Šťovíček - Publicacions Matemàtiques, 2022 - projecteuclid.org
… ; we call them topologically agreeable categories. We show that any … category is Grothendieck
and semisimple. We also prove that a module Σ-coperfect over its endomorphism ring has …

Endoregular modules

DD Anderson, JR Juett - Journal of Pure and Applied Algebra, 2021 - Elsevier
… commutative rings. We generalize many of the classic results about abelian groups with
regular endomorphism rings to modules over one-dimensional commutative rings with …

Endomorphism of Abelian Groups as Modules over Their Endomorphism Rings

OV Lyubimtsev - Mathematical Notes, 2021 - Springer
… Z}_p\) is the ring of \(p\)-adic numbers. The necessary information concerning Abelian groups
and their endomorphism rings which is not cited in the paper can be found in [14] and [15]. …