A morphism f: M→ N of left R-modules is called an n-phantom morphism if the induced
morphism Tor n R (A, f)= 0 for every (finitely presented) right R-module A. Analogously, a …

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 …

本文引入了Ding 内射Ext-phantom 态射, 讨论了其基本同调性质. 并证明了Ding 内射Ext-
phantom 态射的类是R-Mod 的一个理想. 特别地, 给出了一个R-模态射是Ding 内射Ext …

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 …

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 …

We first prove that if a monomorphism is a phantom envelope of a left R-module, then its
cokernel is pure-projective; if R is a left coherent ring and an epimorphism is an Ext Ext …

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 …