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) …

(n,d)-(Ext)- phantom 态射与(n,d)-环* Page 1 第63 卷第1 期 2024 年1 月 Vol. 63 No. 1 Jan.
2024 中山大学学报(自然科学版)(中英文) ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS …

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 …

Let $ n $ be a non-negative integer. An exact category $\C $ is said to be an $ n $-Frobenius
category, provided that it has enough $ n $-projectives and $ n $-injectives and the $ n …

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 …

本文利用左R-模的预包络关于直和的封闭性, 研究了态射和短正合序列的预包络关于直和的封闭
性. Abstract: In this paper, we study that the preenvelopes of morphisms and short exact …

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 …

(nꎬd)-phantom与(nꎬd)-Ext-phantom态射 Page 1 山东大学学报(理学版)2023年2月第58卷第2期
E-mail:xblxb@sdu.edu.cn Journal of Shandong University(Natural Science)ꎬ Vol.58ꎬ No.2ꎬ …

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 …

Several authors have been interested in some like phantom morphisms such as $ d $-
phantoms, $ d $-$\operatorname {Ext} $-phantoms, neat-phantom morphisms, clean …