We investigate the interplay between properties of Ext modules and the ascent of module
structures along local ring homomorphisms. Specifically, let $\varphi\colon (R,\mathfrak {m} …

A ring R is called right almost JGP-injective or right AJGP-injective for short, if for any 0aJ
(R), there exist a positive integer n such that an0 and R an is a direct summand of lr (an). A …

arXiv:1308.0113v1 [math.CT] 1 Aug 2013 Page 1 arXiv:1308.0113v1 [math.CT] 1 Aug 2013 THE
DUAL OF THE HOMOTOPY CATEGORY OF PROJECTIVE MODULES SATISFIES BROWN …

Let cp be a ring homomorphism from a ring R to a ring Q. If Q is flat as a right R-module and
q is a ring epimorphism, we say that QR is a flat epimorphism. If Q is projective with respect …

In this paper, we introduce the notion of “P-semihereditary”(resp.,“P-hereditary”) rings which
is a generalization of the notion of “semihereditary”(resp.,“hereditary”) rings. Then we …

Let R be a ring. A left R-module M (resp. right R-module N) is called singly injective (resp.
singly flat) if Ext1 (F/C, M)= 0 (resp. Tor1 (N, F/C)= 0) for any cyclic submodule C of any …

(right) PF-rings. This class of rings and another related generalization of quasi-Frobenius
rings, the (two-sided) cogenerator rings, have been studied recently by a number of authors …

Full article: Modules Over RM-Domains Skip to Main Content Taylor and Francis Online
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Given modules RM and AR, RM is said to be absolutely AR-pure if A⊗ M→ A⊗ B is a
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …

Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …