In basic homological algebra, the flat and injective dimensions of modules play an important
and fundamental role. In this paper, the closely related IFP-flat and IFP-injective dimensions …

We describe the structure of finitely generated cotorsion modules over commutative
noetherian rings. Also we characterize the so-called covering morphisms between finitely …

In this paper, we introduced two concepts. A module M is said to be purely quasi-injective
(resp. quasi-cotorsion) if it is fully invariant in its pure-injective envelope (resp. if it is flat and …

Let R and S be rings with identity and Qs an (R, S)-bimodule. In the Page 1 Math. J. Okayama
Univ. 33 (1991), 149 - 154 LINEARLY COMPACT DUAL- BIMODULES Dedicated to Professor …

In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive
closure of a tilting module. Applications go in three directions. The first is to characterize …

A ring is called $ n $-perfect ($ n\geq 0$), if every flat module has projective dimension less
or equal than $ n $. In this paper, we show that the $ n $-perfectness relate, via homological …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

Let R be a ring and Q be a quiver. In this paper we give another definition of purity in the
category of quiver representations. Under such definition we prove that the class of all pure …

Let R be any ring. We prove that every right R-module is coretractable if and only if R is right
perfect and every right R-module is small coretractable if and only if all torsion theories on R …