WebSufficient conditions for an ideal I in R-Mod to be covering are proved. This allows to obtain an alternative proof of the existence of phantom covers of modules. Our approach is inspired by an extension of the standard techniques used in Approximation Theory. Web23. dec 2016. · It is shown that every cotorsion pair for Mod Λ induces a cotorsion pair for Mod Λ. This has some interesting applications, even for the category of finitely presented modules. Another theme of the paper is the interplay between cotorsion and torsion pairs.
A simultaneous generalization of mutation and recollement on a ...
Webclosed under direct limits too, then the pair (A, B) is cogenerated by a set of indecomposable pure-injective modules. In the third paper, we deal with the cotorsion pairs which provide us with non-trivial examples of abstract elementary classes (in the sense of Shelah). Then we study the class D of all 1-projective modules, proving e.g. Web27. okt 2024. · The result is that we get a theorem that can be applied to find new recollement situations based only on three injective cotorsion pairs related by simple … teneriffa top training
New model structures and projective (injective) cotorsion pairs
Web11. avg 2024. · Cotorsion pairs and model structures on Morita rings. Pu Zhang, Jian Cui, Shi Rong. This paper is to study cotorsion pairs and abelian model structures on some … Web29. jan 2004. · Another cotorsion pair that the author has in mind is the pair (S',C'), the "flat" cotorsion pair on Sh((9), the category of sheaves of O-modules, where (9 is a … trevor rabin tour