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ON ENDOMORPHISM RINGS OF NOETHERIAN QUASI-INJECTIVE MODULES

ON ENDOMORPHISM RINGS OF NOETHERIAN QUASI-INJECTIVE MODULES
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Endomorphism Rings of Quasi-Injective Modules

Canadian Journal of Mathematics, 1968
Y. Utumi (14 and 15) obtained some interesting results on self-injective rings. He showed that, if R is right self-injective, then so is R/J, where J is the Jacobson radical of R. Also, if R is right self-injective and regular, then R is left self-injective for any set of orthogonal idempotents is an essential extension of .
B. L. Osofsky
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Principally quasi-injective modules

Communications in Algebra, 1999
An R-module M is called principally quasi-injective if each R-hornomorphism from a principal submodule of M to M can be extended to an endomorphism of M. Many properties of principally injective rings and quasi-injective modules are extended to these modules.
W K Nicholson
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Quasi-injective multiplication modules

Communications in Algebra, 2000
(2000). Quasi-injective multiplication modules. Communications in Algebra: Vol. 28, No. 7, pp. 3329-3334.
Surjeet Singh
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On the cancellation of quasi-injective modules

Communications in Algebra, 1976
(1976). On the cancellation of quasi-injective modules. Communications in Algebra: Vol. 4, No. 2, pp. 101-109.
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Essentially Quasi-Injective Modules and Their Direct Sums

Russian Mathematics
Conditions are studied under which an arbitrary direct sum of essentially (quasi-) injective modules is an essentially (quasi-) injective module. A description of essentially quasi-injective Abelian groups is obtained.
A N Abyzov
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Quasi-Injective modules

Lecture Notes in Mathematics, 1967
Carl Faith
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RINGS WITH QUASI-INJECTIVE CYCLIC MODULES

Quarterly Journal of Mathematics, 1974
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A note on quasi-injective modules

Communications in Algebra, 1987
(1987). A note on quasi-injective modules. Communications in Algebra: Vol. 15, No. 6, pp. 1279-1286.
B. De La Rosa, G. Viljoen
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Endomorphisms of the Quasi-Injective Hull of a Module

Canadian Mathematical Bulletin, 1970
R is a ring and M is a right R-module for which Rl = {m ∊ M | mR = 0} is the zero submodule. Let and be the injective hull and the quasi-injective hull of M respectively. Then where [1]. The ring plays an important role, in many cases, in the studying of R especially when D is a division ring. For x ∊ M, we denote the annihilator of x in R by xγ =
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