Flat covers of modules
Flat covers of modules
复制标题
DOI：
10.1007/bfb0094173
复制
发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Jinzhong Xu
中科院分区：
文献类型：
--
作者：
Jinzhong Xu
自Eckmann和Bas于20世纪60年代定义内射包络和投射覆盖以来，它们对同调代数、环论和模论的发展产生了重大影响。在20世纪80年代，Enochs引入了平面覆盖，并证明每个模块在任何环上都有这样的覆盖。本书提供了研究一般信封和封面的统一方法和系统处理，重点是平面封面的存在。结果表明，伊诺克猜想对于许多有趣的环都是成立的，然后给出了结果的应用。对环和模有合理知识的读者在阅读这本书时不会有困难。它适合作为对该领域感兴趣的研究人员和研究生的参考书和教科书。
Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. This book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover. It shows that Enochs' conjecture is true for a large variety of interesting rings, and then presents the applications of the results. Readers with reasonable knowledge in rings and modules will not have difficulty in reading this book. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in this field.