凝聚環源於Chase[45]在1960年對平坦模的直積
的研究。這一概念可以看成
Noether環和半遺傳環的推廣。1989年，Glaz編著的
《交換的凝聚環》[160]一書出
版了。這本由陳建龍、張小向著的《凝聚環與FP-內
射環(英文版)》綜合了當時人們所知道的有關交換的
凝聚環方面的幾乎所有的結果。
三年以後，Glaz又寫了一篇關於交換的凝聚環的綜述
報告，介紹了凝聚環在交
換代數中的地位。與此同時，關於非交換的凝聚環的
研究也逐漸活躍起來。這正是
本書的所要著重討論的內容之一。

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