… We study the properties of n-phantom and n-Ext-phantom morphisms. … of n-phantom and
n-Ext-phantom morphisms, which are generalizations of phantom and Extphantom morphisms. …

… describe n-phantom envelopes and n-Ext-phantom covers of … has an n-phantom envelope
or an n-Ext-phantom cover … according to n-phantom envelopes and n-Ext-phantom covers with …

… It is proven that a morphism f is an n-phantom morphism if and … ; A morphism g is an n-Ext-phantom
morphism if and only if … n-phantom morphisms by n and the ideal of n-Ext-phantom …

… n-phantom if Torn(A, α) = 0 for any finitely presented right module A and α is said to be an
n-Ext-phantom … Clearly α is a 1-phantom (resp., a 1-Ext-phantom) morphism if and only if α is a …

… 文献[8]引入了n-Phantom态射和n-Ext-Phantom态射的概念,证明了:在R-Mod中,f:M→N是n-Phantom态
射(n>1)当且仅当存在态射范畴中的正合序列0→k n-1 →p n-2 →p n-1 →…→p 0 →f→0,…

… We call such a morphism f, as an n-Ext-phantom morphism. In Section 7, we introduce a
composition operator “◦” on Extn /P. It is shown that this operator is associative and distributive …

… of n-phantom morphisms and n-Ext-phantom morphisms. … discuss the n-phantom and n-Ext-phantom
of morphisms in … ) and their character morphisms has been investigated. …

… (ii)任意左R-模存在满的n-phantom 包络. (iii)任意右R-模存在单的n-Ext-phantom 覆盖. …
Higher phantom morphisms with respect to a subfunctor of Ext[J]. Algebra Represent Theory,22(2):…

… Abstract: In this thesis, the concepts of Gorenstein injective Phantom morphism and
higher … 8]引入了n-Phantom态射和n-Ext-Phantom态射的概念,证明了:在R-Mod中,f:M→N是n-Phantom态…

… 态射)分别为文献[8ꎬ13ꎬ14]中的Torn -满态射(n-phantom态射)与Extn -单态射(n-Ext-phantom态…
Covering ideals of morphisms and module representations of the quiver A2 [J]. J Pure Appl …