We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

In this short paper, we prove that a commutative Noetherian ring R is Artinian if and only if for
any nonzero R-module M there is a nonzero linear map from M into F with F flat and if and …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …

Let R be a ring and I an ideal of R. We define and study I-pure submodules, I-FP-injective
modules, I-flat modules, I-coherent rings and I-semihereditary rings. Using the concepts of I …

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 …

Artinian serial principal ideal rings and artinian serial rings are tradi-tionally called
uniserialrings and generalized uniserial rings, respectively. These rings are important …

H-rings and Co-H-rings have been defined by K. Oshiro in [9]. A ring R is a right H-ring (Co-
H-ring) iff every injective (projective) right R-module is lifting (extending). A right H-ring or a …

In this paper, the notion of strongly G_C-projective and injective modules is introduced,
where C is a semidualizing module. Using these modules we can obtain a new …