RD-phantom and RD-Ext-phantom Morphisms
L Mao - Filomat, 2018 - doiserbia.nb.rs
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 …
Tor1 (R= aR, f)= 0 for any a R. Similarly, a morphism g of left R-modules is said to be an …
Precovers and preenvelopes by phantom and Ext-phantom morphisms
L Mao - Communications in Algebra, 2016 - Taylor & Francis
A morphism f: M→ N of left R-modules is called a phantom morphism if the induced
morphism for every (finitely presented) right R-module A. Similarly, a morphism g: M→ N of …
morphism for every (finitely presented) right R-module A. Similarly, a morphism g: M→ N of …
Higher phantom and Ext-phantom morphisms
L Mao - Journal of Algebra and Its Applications, 2018 - World Scientific
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 …
morphism Tor n R (A, f)= 0 for every (finitely presented) right R-module A. Analogously, a …
Higher phantom morphisms with respect to a subfunctor of Ext
L Mao - Algebras and Representation Theory, 2019 - Springer
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-epimorphism) if the induced morphism Tor n (A, f)= 0 (resp. Tor n (A, f) is an epimorphism) …
Resolutions and dimensions of relative injective modules and relative flat modules
Y Zeng, J Chen - 대한수학회보, 2013 - dbpia.co.kr
Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
Neat-phantom and clean-cophantom morphisms
L Mao - Journal of Algebra and Its Applications, 2021 - World Scientific
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 …
generated projectives. An exact sequence 0→ A→ B→ C→ 0 of right R-modules is called …
Finitely phantom morphisms and finitely split epimorphisms
L Mao - Colloquium Mathematicum, 2020 - impan.pl
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 …
finitely phantom morphism if for each morphism ${\beta: F\rightarrow X} $ with $ F $ finitely …
On --flat modules and -von Neumann regular rings
N Mahdou, EH Oubouhou - Journal of Algebra and Its Applications, 2024 - World Scientific
Let R be a commutative ring with a nonzero identity and M an R-module. Set ϕ-tor (M)={x∈
M| sx= 0 for some s∈ R\Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …
M| sx= 0 for some s∈ R\Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …
On n-phantom and n-Ext-phantom Morphisms
K Lan, B Lu - Taiwanese Journal of Mathematics, 2021 - JSTOR
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 …
covers of modules, and we find that many important properties still hold after replacing …
Remarks on fp-Injective and fp-Flat Modules
L Mao - Arabian Journal for Science and Engineering, 2011 - Springer
Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …