By Eben Matlis
The first 8 chapters of the publication are a basic creation to the idea of torsion-free modules. This a part of the ebook is acceptable for a self-contained easy path at the topic. extra really good difficulties of discovering all integrally closed D-rings are tested within the final seven chapters, the place fabric lined within the first 8 chapters is applied.
An vital area is expounded to be a D-ring if each torsion-free module of finite rank decomposes right into a direct sum of modules of rank 1. After a lot research, Professor Matlis chanced on that an integrally closed area is a D-ring if, and provided that, it's the intersection of at such a lot maximal valuation rings.
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