Ebook Info
- Published: 2000
- Number of pages:
- Format: PDF
- File Size: 6.33 MB
- Authors: Laszlo Fuchs
Description
In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prufer domains, but also discuss Krull and Matlis domains, $h$-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐Noether性を仮定しない可換環論の整備は困難に思われるが，この本では一般の(Noetherとは限らない)整域の理論を叮嚀に解説している．環論に興味のある人間であれば，きっと参考になる一冊だと思う．
Keywords
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