We show that compactly generated t-structures in the derived category of a commutative ring
R are in a bijection with certain families of compactly generated t-structures over the local …

Let R! A be a homomorphism of associative rings, and let. F; C/be a hereditary complete
cotorsion pair in R-Mod. Let. FA; CA/be the cotorsion pair in A-Mod in which FA is the class …

Injective, pure-injective, and fp-injective modules are well known to provide for
approximations in the category Mod-R for an arbitrary ring R. We prove that this fails for …

Given a non-unit, non-zero-divisor, central element x of a ring Λ, it is well known that many
properties or invariants of Λ determine, and are determined by, those of Λ/x Λ and Λ x. In the …

We present two recent developments in the approximation theory of modules. The first one
investigates boundaries of this theory, namely the classes naturally occurring in homological …

Tilting theory for commutative rings Page 1 Tilting theory for commutative rings Jan Trlifaj
Univerzita Karlova, Praha Representation Theory Workshop Nanjing Normal University May …