Self-injective and PF endomorphism rings

JL García Hernández, JL Gómez Pardo - Israel Journal of Mathematics, 1987 - Springer
Self-injective and PF endomorphism rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol.
58, No. 3, 1987 SELF-INJECTIVE AND PF ENDOMORPHISM RINGS BY JL GARCiA …

[PDF][PDF] On S-closed submodules

Y Durgun, S Ozdemir - J. Korean Math. Soc, 2017 - researchgate.net
A submodule N of a module M is called S-closed (in M) if M/N is nonsingular. It is well-known
that the class Closed of short exact sequences determined by closed submodules is a …

[引用][C] Notes on pure projective modules

X Song, J Chen - J. South. Univ, 2005

Modules which are invariant under nilpotents of their envelopes and covers

TC Quynh, A Abyzov, DD Tai - Journal of Algebra and Its …, 2021 - World Scientific
A module is called nilpotent-invariant if it is invariant under any nilpotent endomorphism of
its injective envelope [MT Koşan and TC Quynh, Nilpotent-invaraint modules and rings …

Torsion pairs over n-hereditary rings

D Bravo, CE Parra - Communications in Algebra, 2019 - Taylor & Francis
We study the notions of n-hereditary rings and its connection to the classes of finitely n-
presented modules, FP n-injective modules, FP n-flat modules and n-coherent rings. We …

Dual automorphism-invariant modules over perfect rings

AN Abyzov, TC Quynh, DD Tai - Siberian Mathematical Journal, 2017 - Springer
Under study are the dual automorphism-invariant modules and pseudoprojective modules.
Some conditions were found under which the dual automorphism-invariant module over a …

Transitivity and full transitivity for p-local modules

G Hennecke, L Strüngmann - Archiv der Mathematik, 2000 - Springer
A p-local module M is called (fully) transitive if for all x,y∈M with UM (x)= UM
(y)(U_M(x)\leqqU_M(y)) there exists an automorphism (endomorphism) of M which maps x …

On rings admitting nonzero homomorphisms between non-projective modules

Y Alagöz, Y Durğun, K Izci - Communications in Algebra, 2023 - Taylor & Francis
In a recent paper, Türkoğlu have studied the rings admitting nonzero homomorphisms
between any two non-projective modules (property (T)). His work raises the following …

Modules with the exchange property and exchange rings

AA Tuganbaev - Handbook of Algebra, 2000 - Elsevier
Publisher Summary This chapter discusses the modules, along with the exchange property
and exchange rings. All rings are assumed to be associative and unital. If A is a ring, then J …

Some Properties of Strongly Principally Self-Injective Modules

KS Munshid, MF Hamid, JR Kider - Journal of Applied Sciences and …, 2022 - iasj.net
The idea of generalizing quasi injective by employing a new term is introduced in this paper.
The introduction of principally self-injective modules, which are principally self-injective …