Let R be a domain with its field Q of quotients, M an R-module and na fixed non-negative
integer. Then M is called n-Matlis cotorsion if Ext R k (Q, M)= 0 for any integer k> n. Also M is …

Some Remarks on Global Dimensions for Cotorsion Pairs. Page 1 REND. SEM. MAT. UNIV.
PADOVA, Vol. 116 2006) Some Remarks on Global Dimensions for Cotorsion Pairs. EDGAR …

It is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right module over
itself. Several other conditions are shown to be equivalent. For example, that every pure …

In this article, FP-injective complexes are introduced and studied. We prove that (⊥ ℱℐ, ℱℐ)
is a hereditary cotorsion theory if and only if R is a left coherent ring, where ℱℐ denotes the …

In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …

In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …

Let Λ be a left and right noetherian ring and mod Λ the category of finitely generated left Λ-
modules. In this article, we show the following results.(1) For a positive integer k, the …

In this article, we introduce the concept of IFP-flat (resp., IFP-injective) modules as nontrivial
generalization of flat (resp., injective) modules. We investigate the properties of these …

In this paper, we study the pair $(\GP (R),\GP (R)^{\perp}) $ where $\GP (R) $ is the class of
all Gorenstein projective modules. We prove that it is complete hereditary cotorsion theory …