-Injective and -coherent endomorphism rings of modules

L Mao - Journal of Algebra and Its Applications, 2020 - World Scientific
… the endomorphism ring S of a right R-module M is a right (m, n)-coherent ring if and only if
every M-(m, n)-copresented right Rmodule … of right R-modules has a pseudokernel in add(M) (…

[PDF][PDF] ON ENDOMORPHISM RINGS OF AUTOMORPHISM-INVARIANT MODULES.

DT Trang - … de Rolando Eotvos Nominatae. Sectio Computatorica, 2022 - ac.inf.elte.hu
… of endomorphism rings of automorphism-invariant modules. It shows that if M is an
automorphisminvariant self-generator module … We also show that a ring R is right self-injective if …

[PDF][PDF] Flat modules and coherent endomorphism rings relative to some matrices

Y Zeng - AIMS Mathematics, 2023 - aimspress.com
… Next, N is called (α, β)-flat over its endomorphism ring if NS is flat relative to all A ∈ S β×α .
… ,n)-flat [1,9] and flat modules over their endomorphism rings. The notion of quasi-injectivity is …

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 …

Pseudo semi-projective modules and endomorphism rings

NTT Ha - Вестник Удмуртского университета. Математика …, 2022 - mathnet.ru
… semi-projective modules and their endomorphism rings. It is shown that a ring R is a
semilocal ring if and only if each semiprimitive finitely generated right R-module is pseudo semi-…

Characterizing categoricity in several classes of modules

M Mazari-Armida - Journal of Algebra, 2023 - Elsevier
… A left R-module M is strongly indecomposable if M is non-zero and the endomorphism ring
of M is local. Strongly indecomposable modules are sometimes called endolocal modules. …

Endomorphism rings via minimal morphisms

M Cortés-Izurdiaga, PA Guil Asensio… - … Journal of Mathematics, 2021 - Springer
… properties of the endomorphism ring of M from those of the endomorphism ring of X. In this
paper, we study the relationship between the endomorphisms ring of two modules K and M …

[PDF][PDF] A Study on Modules

J Jasmine - 2022 - 117.239.78.102
… A module over a ring is a generalization of the notion of vector space … 3.2 Classification of
Modules In this chapter, we shall discuss some significant types of modules over various rings, …

Modules over trusses vs modules over rings: direct sums and free modules

T Brzeziński, B Rybołowicz - Algebras and Representation Theory, 2022 - Springer
… truss and on study of their relationship to modules over a ring. Given a … ring R we define
two functors: the functor T from the category of modules over R to the category of modules over

The endomorphism rings of permutation modules of -transitive permutation groups

J He, X Li - arXiv preprint arXiv:2402.17145, 2024 - arxiv.org
… analysis, we prove that the endomorphism ring of the natural permutation module for a 3 …
study the endomorphism ring of the natural permutation modules of a 3 2 -transitive groups. The …