B. Maddox [15] defined absolutely pure modules and derived some interesting properties of
these modules. C. Megibben [17] continued the study of these modules and found more …

Let aa be an ideal in a commutative ring R. For an R-module M, we consider the small a a-
torsion Γ _ a (M)={x ∈ M ∣ ∃ n ∈ N: a^ n ⊆ (0: _Rx)\} Γ a (M)= x∈ M∣∃ n∈ N: an⊆(0: R …

n-COTILTING MODULES AND PURE-INJECTIVITY Page 1 Bull. London Math. Soc. 36 (2004)
599–612 Cо2004 London Mathematical Society DOI: 10.1112/S0024609304003352 n-COTILTING …

In this paper, we study completeness of cotorsion pairs in the category of complexes of R-
modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair …

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 left Noetherian ring, S a right Noetherian ring and RU a generalized tilting
module with S= End (RU). We give some equivalent conditions that the injective dimension …

We study the notion (for categories of modules) dual to that of torsion radical and its
connections with projective modules. Torsion radicals in categories of modules have been …

Given modules M and P, we introduce in section 2 the concept of an (M, P)-injective module.
This concept contains many versions of injectivity known in the literature, such as principal …

TOTALLY COFINITELY SUPPLEMENTED MODULES Gökhan Bilhan 1. Introduction
Throughout R will denote an associative ring with identit Page 1 International Electronic …

This paper is a commutative algebra introduction to the homological theory of quasi-
coherent sheaves and contraherent cosheaves over quasi-compact semi-separated …