On endomorphism rings of noetherian quasi-injective modules
M Harada, T Ishii - 1972 - projecteuclid.org
ON ENDOMORPHISM RINGS OF NOETHERIAN QUASI-INJECTIVE MODULES Page 1
Harada, M. and Ishii, T. Osaka J. Math. 9 (1972), 217-223 ON ENDOMORPHISM RINGS OF …
Harada, M. and Ishii, T. Osaka J. Math. 9 (1972), 217-223 ON ENDOMORPHISM RINGS OF …
On quasi-injective modules with a chain condition over a commutative ring
M Harada - 1972 - projecteuclid.org
In the previous paper [4] the author and T. Ishii studied the endomorphism rings of
noetherian quasi-injective modules. As an application of it, we consider, in this paper, quasi …
noetherian quasi-injective modules. As an application of it, we consider, in this paper, quasi …
[PDF][PDF] Quasi-injective modules with acc or dcc on essential submodules
NV Dung, DV Huynh, R Wisbauer - Arch. Math, 1989 - academia.edu
In this paper modules with ascending chain condition (acc)(respectively, with descending
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …
chain conditon (dcc)) on essential submodules are investigated: Finitely generated quasi …
Quasi-Injective and Pseudo-Infective Modules
SK Jain, S Singh - Canadian Mathematical Bulletin, 1975 - cambridge.org
QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …
[PDF][PDF] Minimal quasi-injective modules
Z Zhu, Z Tan - Scientiae Mathematicae Japonicae, 2005 - jams.or.jp
Let R be a ring. A right R-module M is called minimal quasi-injective if every homomorphism
from a simple submodule of M to M can be extended to an endomorphism of M. Some …
from a simple submodule of M to M can be extended to an endomorphism of M. Some …
P-injective endomorphism rings
SM Khuri - Communications in Algebra, 1996 - Taylor & Francis
1. Introduction In [5], Nicholson and Yousif called a ring R right principallv in iective (P-in.
jective) if every R-ho~ nomorphism from a principal right ideal to 11 is left multiplication by …
jective) if every R-ho~ nomorphism from a principal right ideal to 11 is left multiplication by …
Endomorphism rings of completely pure-injective modules
J Pardo, P Asensio - Proceedings of the American Mathematical Society, 1996 - ams.org
Let $ R $ be a ring, $ E= E (R_R) $ its injective envelope, $ S=\operatorname {End}(E_R) $
and $ J $ the Jacobson radical of $ S $. It is shown that if every finitely generated submodule …
and $ J $ the Jacobson radical of $ S $. It is shown that if every finitely generated submodule …
Injective modules and prime ideals
PF Smith - Communications in Algebra, 1981 - Taylor & Francis
Let be a non-empty collection of right ideals of a ring R. A right R-module X is called-
injective provided each R-homomorphism ϕ: A→ X with A in can be lifted to an R …
injective provided each R-homomorphism ϕ: A→ X with A in can be lifted to an R …
Modules with regular, perfect, noetherian or artinian endomorphism rings
SM Khuri - Non-Commutative Ring Theory: Proceedings of a …, 1990 - Springer
The problem of classifying properties of the endomorphism ring of a module in terms of
properties of the module is most naturally approached via a bijection between certain left or …
properties of the module is most naturally approached via a bijection between certain left or …
On injective modules
H Harui - Journal of the Mathematical Society of Japan, 1969 - jstage.jst.go.jp
In [3] C. Faith and EA Walker gave a characterization of a left artinian ring in terms of module
theories. That is, a ring B is left artinian if and only if every injective left B-module is a direct …
theories. That is, a ring B is left artinian if and only if every injective left B-module is a direct …