In this paper, we introduce the concept of n-IFP-flat (respectively, n-IFP-injective) modules as
nontrivial generalization of flat (respectively, injective) modules. We first investigate various …

n-FLAT AND n-FP-INJECTIVE MODULES 1. Introduction We use R-Mod (resp., Mod-R) to
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …

Let R be a left coherent ring, Rω a Wakamatsu tilting module and S= End (Rω) a right
coherent ring. It is shown that the FP-injective dimensions of Rω and ωS are identical …

Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely …

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 …

Let R be a ring. A left R-module M (respectively right R-module N) is called FI-injective
(respectively FI-flat) if Ext1 (G, M)= 0 (respectively Tor1 (N, G)= 0) for any FP-injective left R …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

Abstract A ring\(R\) is said to be a left\(IF-(m, n)\) ring if every injective left\(R\)-module is\((m,
n)\)-flat. In this paper, several characterizations of left\(IF-(m, n)\) rings are investigated, some …