Properties of DG-injective complexes

Specialeforsvar ved Michelle Mia Rasmussen

Titel: Properties of DG-injective complexes

Abstract: This thesis gives a presentation of the paper "The $\aleph_1$-product of DG-injective complexes" by E.E. Enochs and A. Iacob. In order to give a torough an detailed mathematical presentation some background material must be introduced. This is done in the first part of this thesis and includes results and definitions from generel category theory, the category of modules and the category of chain complexes. Given this background material we are going to define what it means for a complex to be DG-injective. Moreover conditions which are sufficient in order for a complex to be DG-injective is given. These conditions are used to show that the family of DG-injective complexes are closed under the $\aleph_1$-product.

Vejleder: Henrik Holm
Censor: Peter Trosborg