Lecture Notes on Local Rings Book PDF, ePub eBook
Lecture Notes on Local Rings.pdf
File Name: Lecture Notes on Local Rings.pdf
Size: 35.27 MB
Uploaded: 2017-05-12 03:4:7
Status: AVAILABLE Last checked: 52 Minutes ago!
Rating: ★★★★★ 86 out of 100 based on 12864 user
Book Descriptions:
The content in Chapter 1–3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen–Macaulay rings and depth. In Chapters 4–6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7–9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.Contents:
- Dimension of a Local Ring
- Modules over a Local Ring
- Divisor Theory
- Completion
- Injective Modules
- Local Cohomology
- Dualizing Complexes
- Local Duality
- Amplitude and Dimension
- Intersection Multiplicities
- Complexes of Free Modules
Readership: Graduate students and academic researchers with an interest in algebra, commutative algebra, algebra geometry, homological algebra and algebraic number theory.
Key Features:
- Although the proofs are fairly short, the key points give readers the opportunity to supply details for their own satisfaction
- The classical result of Auslander-Buchsbaum on unique factorization in a regular local ring is treated in a context of divisor and Picard groups, and this enlightens and connects to methods from number theory
- This book contains original research of the late Professor Iversen that are not published in this form before
- 1. Register a free 1 month Trial Account.
- 2. Download as many books as you like (Personal use)
- 3. Cancel the membership at any time if not satisfied.
Lecture Notes on Local Rings by Birger Iversen
From reader reviews:Sheila Rocha:
Why don't make it to be your habit? Right now, try to prepare your time to do the important work, like looking for your favorite e-book and reading a book. Beside you can solve your problem; you can add your knowledge by the publication entitled Lecture Notes on Local Rings. Try to make the book Lecture Notes on Local Rings as your close friend. It means that it can to get your friend when you truly feel alone and beside associated with course make you smarter than before. Yeah, it is very fortuned in your case. The book makes you far more confidence because you can know anything by the book. So , we need to make new experience and also knowledge with this book.
Frank Johnson:
Have you spare time for the day? What do you do when you have considerably more or little spare time? Yes, you can choose the suitable activity with regard to spend your time. Any person spent their particular spare time to take a stroll, shopping, or went to typically the Mall. How about open or read a book entitled Lecture Notes on Local Rings? Maybe it is to become best activity for you. You know beside you can spend your time with your favorite's book, you can wiser than before. Do you agree with it has the opinion or you have some other opinion?
Joyce Lynch:
The book Lecture Notes on Local Rings can give more knowledge and information about everything you want. Exactly why must we leave the great thing like a book Lecture Notes on Local Rings? A number of you have a different opinion about book. But one aim that will book can give many data for us. It is absolutely suitable. Right now, try to closer using your book. Knowledge or facts that you take for that, you can give for each other; you are able to share all of these. Book Lecture Notes on Local Rings has simple shape however, you know: it has great and big function for you. You can search the enormous world by open and read a guide. So it is very wonderful.
Emmaline Jett:
Now a day people that Living in the era everywhere everything reachable by match the internet and the resources inside it can be true or not require people to be aware of each details they get. How individuals to be smart in acquiring any information nowadays? Of course the answer is reading a book. Reading through a book can help persons out of this uncertainty Information mainly this Lecture Notes on Local Rings book since this book offers you rich details and knowledge. Of course the details in this book hundred per cent guarantees there is no doubt in it you know.
How it works:
