In this paper we study the class of FI-cotorsion modules and we introduce there dimensions
of modules and rings. An R-module M is called FI-cotorsion if Ext 1 R (F, M)= 0 for any FI-flat …

Let $ R $ be a ring, $ S $ a multiplicative subset of $ R $. An $ R $-module $ M $ is said to
be $ u $-$ S $-flat ($ u $-always abbreviates uniformly) if $\Tor^ R_1 (M, N) $ is $ u $-$ S …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …

Let R be a ring. In this paper, FP-Gorenstein cotorsion modules are introduced and studied.
An R-module N is said to be FP-Gorenstein cotorsion if Ext1 R (F, N)= 0 for any finitely …

Let R be a ring. An R-module N is called Gorenstein cotorsion module if Ext R 1 (F, N)= 0 for
any Gorenstein flat R-module F. We investigate some properties of Gorenstein cotorsion …

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, strongly cotorsion (torsion-free) modules are studied and strongly cotorsion
(torsion-free) dimension is introduced. It is shown that every module has a special SCn …

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 …

Some results on finitistic n-self-cotilting modules Page 1 Some results on finitistic n-self-cotilting
modules Mostafa Amini Faculty of Mathematical Sciences, University of Payame Noor, Tehran …

This thesis is consists of five chapter. Chapter 1 is the introduction part of the thesis. In
chapter 2, we present some basic definitions and useful notions. In chapter 3, we study …