Phantom Homology is popular PDF and ePub book, written by Melvin Hochster in 1993, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Phantom Homology can be Read Online from any device for your convenience.
Phantom Homology Book PDF Summary
This book uses a powerful new technique, tight closure, to provide insight into many different problems that were previously not recognized as related. The authors develop the notion of weakly Cohen-Macaulay rings or modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of phantom homology, which uses tight closure techniques to show that certain elements in the homology of complexes must vanish when mapped to well-behaved rings. These ideas are used to strengthen various local homological conjectures. Initially, the authors develop the theory in positive characteristic, but it can be extended to characteristic 0 by the method of reduction to characteristic $p$. The book would be suitable for use in an advanced graduate course in commutative algebra.
Detail Book of Phantom Homology PDF
- Author : Melvin Hochster
- Release : 01 October 1993
- Publisher : American Mathematical Soc.
- ISBN : 9780821825563
- Genre : Mathematics
- Total Page : 105 pages
- Language : English
- PDF File Size : 21,7 Mb
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