Cartan-Eilenberg Weak Injective And Weak Flat Complexes

The thesis is mainly about CE weak injective complexes(CE weak flat com-plexes)and CE FPn-injective complexes(CE FPn-flat complexes),which consists of five chapters.In Chapter 1,some definitions and results needed in this thesis are given.In Chapter 2,we introduce and consider the concepts of CE super finitely pre-sented complexes and CE weak injective(CE weak flat)complexes as generalizations of weak injective complexes and weak flat complexes,the properties of them are dis-cussed.In Chapter 3,we firstly introduce and consider the concepts of CE finitely n-presented complexes,the properties of them are discussed.secondly,we introduce and study the concepts of CE FPn-injective complexes(CE FPn-flat complexes),the properties of them are discussed.Finally,we study the relationships of n-Coherent rings.