关于n-phantom-态射和n-Ext-phantom-态射的刻画 Page 1 浙江大学学报(理学版) Journal of
Zhejiang University(Science Edition) http://www.zjujournals.com/sci 第48 卷第6 期 2021 年 …

Full article: Gorenstein flat phantom morphisms Skip to Main Content Taylor and Francis Online
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Let ℱ 𝒫∞ R be the class of all left R-modules M which has a projective resolution by finitely
generated projectives. An exact sequence 0→ A→ B→ C→ 0 of right R-modules is called …

A morphism f: M→ N f:M→N of left R-modules is called an n-phantom morphism (resp. a Tor
n-epimorphism) if the induced morphism Tor n (A, f)= 0 (resp. Tor n (A, f) is an epimorphism) …

Let $ R $ be a ring. A morphism $\alpha: X\rightarrow Y $ of left $ R $-modules is called a
finitely phantom morphism if for each morphism ${\beta: F\rightarrow X} $ with $ F $ finitely …

This paper extends many conclusions based on phantom envelopes and Ext-phantom
covers of modules, and we find that many important properties still hold after replacing …

We investigate preenvelopes and precovers in the category _ RE RE of short exact
sequences of left R-modules. Let CC be a class of left R-modules. We prove that:(1) A_ 1 …

A morphism f of left R-modules is called an RD-phantom morphism if the induced morphism
Tor1 (R= aR, f)= 0 for any a R. Similarly, a morphism g of left R-modules is said to be an …

Let I be a left or right ideal of the category of left R-modules. We first study the closure
properties of I-preenvelopes and I-precovers of modules under direct sums, direct products …