Let R be a ring, na fixed non-negative integer and ℱ ℐ n (ℱ n) the class of all right (left) R-
modules of FP-injective (flat) dimension at most n. We prove that (is a perfect cotorsion …

A ring R is called “left generalized morphic” if for every element a in R, there exists b∈ R
such that l (a)≅ R/Rb, where l (a) denotes the left annihilator of a in R. The aim of this article …

Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …

In this paper, we investigate the notions of-projective,-injective, and-flat modules and give
some characterizations of these modules, where is a class of left modules. We prove that the …

众所周知, 环R 的右整体维数通常借助于Hom 的右导出函子及右R-模的左投射分解来计算.
对于左凝聚右完全环R, 本文从另一个角度(即利用Hom 的左导出函子及右R-模的右投射分解) …

It is well known that the right global dimension of a ring R is usually computed by the right
derived functors of Hom and the left projective resolutions of right R-modules. In this paper …

Mao and Ding introduced the concept of injective modules. D. Bennis and N. Mahdou
introduced and studied the concept of strongly Gorenstein projective and injective modules …

A left R-module M is called strongly P-projective if Exti (M, P)= 0 for all projective left R-
modules P and all i≥ 1. In this article, we first discuss properties of strongly P-projective …

Let R be an IF ring, or be a ring such that each right R-module has a monomorphic flat
envelope and the class of flat modules is coresolving. We firstly give a characterization of …

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