… study finiteness properties of cotilting torsion and cotorsion pairs. Any cotilting module is pure
… , we will focus on torsion and cotorsion pairs induced by Σ-pure injective cotilting modules. …

… complete cotorsion pairs and cotorsion pairs in [14… a cotorsion pair in [24] will be called a
complete cotorsion pair here. By [24, remark 4·4], any complete cotorsion pair is a cotorsion pair…

… relative projective dimensions and resolution dimensions in cotorsion pairs. In Section 3,
we apply these formulae to cotorsion pairs arising from tilting theory. Hereby, we refine some …

… of the cotorsion and contraadjusted modules … R-modules, while the category of locally
cotorsion contraherent cosheaves on Spec R is equivalent to the category of cotorsion R-modules […

… }(R)\), t-structures and (co)tilting modules. Section 3 is devoted to our classification results. …
We thus recover the classification of tilting and cotilting modules given in [7, Theorems 3.7 …

… -Leffler left R-modules by extending the construction given in [… cotorsion pair for those rings
in which each flat left R-module is filtered by totally ordered direct limits of projective modules…

… We thus obtain a new criterion, in terms of tilting cotorsion pairs, for a ring to be left pure …
such that every cotorsion pair in R -Mod is generated by a finitely generated tilting module, and …

… BR) be cotorsion pair of right S-modules and right R-modules … to cotorsion pairs, and
introduce cotorsion pair extensions … A class X of modules is n-tilting if there is an n-tilting module …

… structure translates to the existence certain cotorsion pairs. Methods for obtaining such model
… Here we recall only the necessary minimum: the concept of a cotorsion pair (originally due …

… theory of cotorsion pairs to study classes of modules with finite … n-tilting cotorsion pairs and
in cotorsion pairs associated to … an n-tilting cotorsion pair is the hereditary cotorsion pair (⊥(T…