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 …

Let R be a ring, M a right R-module, and na fixed non-negative integer. M is called n-
cotorsion if for any flat right R-module N. M is said to be n-flat if for any n-cotorsion right R …

RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

In Section 1 of this paper, we investigate the finitely presented dimension of an essential
extension for a module, and obtain results concerning an essential extension of a torsion …

Copresented Dimension of Modules Page 1 Iranian Journal of Mathematical Sciences and
Informatics Vol. 14, No. 2 (2019), pp 153-157 DOI: 10.7508/ijmsi.2019.02.012 Copresented …

Let R be a ring, na fixed non-negative integer and ℱ the class of all left R-modules of FP-
injective dimensions at most n. It is proved that all left R-modules over a left coherent ring R …

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 …

Let R be a ring. A right R-module U is called Tor-tilting if, where U+= Homℤ (U, ℚ/ℤ), Cogen
(U+) is the class of left R-modules cogenerated by U+ and consists of modules RM such that …

In this paper, we first study $ fs $-modules, ie, modules with finitely many small submodules.
We show that every $ fs $-module with finite hollow dimension is Noetherian. Also, we prove …

This semi-expository note fulfills the promise we gave some time ago of building a theory of
balanced projective dimension of torsion-free modules over valu ation domains, which will …