In [1], PE Bland has studied the strongly M-projective module and the strongly M-projective
cover. As their generalnotions, we define the strongly $\eta $-projective module and the …

1. Recently in his paper [6] M. Sato has given, among other things, the following conjecture:
If every right/^-module has a codivisible cover with respect to a radical t of mod-R, then T (t) …

Let R be a commutative ring with identity. Denote by w𝒫 w the class of weak w-projective R-
modules and by w𝒫 w⊥ the right orthogonal complement of w𝒫 w. It is shown that (w𝒫 w …

In this paper we prove that the extension of pure injective module is pure injective if and only
if the cotorsion envelope and the pure injective envelope of any R-module M are isomorphic …

Let R be a discrete valuation domain with field of fractions Q and maximal ideal generated
by. Let be an R-order such that is a separable Q-algebra. Maranda showed that there exists …

In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …

Let $ R $ be a ring and $ n $ a non-negative integer. In this paper, we first introduce the
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …

抄録< p> A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M= M …

Goldie introduced finite-dimensional modules in [4]. By dualizing the notion of finite-
dimensionality,“cofinite-dimensional modules” may be defind. The object of this article is to …

We introduce and study the concepts of weak n-injective and weak n-flat modules in terms of
super finitely presented modules whose projective dimension is at most n, which generalize …