凝聚环和FP-内射环

Preface
Notations
Chapter 1  A glance in rings and modules
　 1.1  Rings and modules
　 1.2  Complexes, homological dimensions and functors
　 1.3  Finitely generated and finitely presented modules
　 1.4  FP-injective and flat modules
　 Exercise
Chapter 2  Coherent rings
　 2.1  Definition and examples
　 2.2  Characterizations of coherent rings
　 2.3  Extensions of coherent rings
　 2.4  Some generalizations
　 Exercise
Chapter 3  FP-injective rings
　 3.1  Definition and examples
　 3.2  Characterizations of FP-injective rings
　 3.3  Extensions of FP-injective rings
　 3.4  FP-injective and QF rings
　 3.5  FC rings
　 Exercise
Chapter 4  Homological dimensions
　 4.1  FP-injective dimension
　 4.2  n-FC rings
　 4.3  Weak global dimension
　 4.4  Semihereditary rings
　 Exercise
Chapter 5  Some applications
　 5.1  Flat envelopes and FP-injective covers
　 5.2  Gorenstein flat modules
　 5.3  Gorenstein FP-injective modules
　 5.4  Gorenstein flat complexes
　 5.5  Gorenstein FP-injective complexes
　 5.6  Relative and Tate homology
　 Exercise
Appendix A  Open questions
Appendix B  Categories and fuctors
Appendix C  Categories of complexes of modules
References
Index