On FI-Projective Modules and Dimensions Page 1 Palestine Journal of Mathematics Vol. 11(4)(2022)
, 160–166 © Palestine Polytechnic University-PPU 2022 On FI-Projective Modules and …

Let $ R $ be a ring. An $ R $-module $ M $ is said to be a weak $ w $-projective module if
${\rm Ext} _R^ 1 (M, N)= 0$ for all $ N\in\mathcal {P} _ {w}^{\dagger_\infty} $(see,\cite {FLQ}) …

Let R be a commutative ring with identity. In this paper, w∞-projective modules are
introduced and studied. It is shown that every R-module has a special w∞-projective …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …

LOCALIZATION OF INJECTIVE MODULES OVER w-NOETHERIAN RINGS Reprinted from
the Bulletin of the Korean Mathematical Society Vol. 50 Page 1 Bull. Korean Math. Soc. 50 (2013) …

Let R be a ring and M a right R-module. M is called n-FP-projective if Ext 1 (M, N)= 0 for any
right R-module N of FP-injective dimension≤ n, where n is a nonnegative integer or n=∞. ν …

Injective and projective modules are studied relative to a hereditary torsion theory τ on Mod–
R. It is shown that every τ–projective module is projective if and only if the torsion ideal of R …

Let R be a valuation domain. Several characterizations are obtained of torsion-free R-
modules having finite balanced-projective dimension (bpd) by using the new concept of an n …