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 uS-flat (u-always
abbreviates uniformly) if \Tor^R_1(M,N) is uS-torsion R-module for all R-modules N. In this …

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 …

Chapter 19 The Cotorsion Dimension of Modules and Rings Lixin Mao Department of Basic
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …