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Titlebook: Basic Homological Algebra; M. Scott Osborne Textbook 2000 Springer Science+Business Media New York 2000 Adjoint functor.Homological algeb

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樓主
發(fā)表于 2025-3-21 18:31:36 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Basic Homological Algebra
影響因子2023M. Scott Osborne
視頻videohttp://file.papertrans.cn/182/181036/181036.mp4
學(xué)科分類Graduate Texts in Mathematics
圖書封面Titlebook: Basic Homological Algebra;  M. Scott Osborne Textbook 2000 Springer Science+Business Media New York  2000 Adjoint functor.Homological algeb
影響因子Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of several possible directions. This book is ‘a(chǎn)lso intended to be readable enough for independent study. The core of the subject is covered in Chapters 1 through 3 and the first two sections ofChapter 4. At that point there are several options. Chapters 4 and 5 cover the more traditional aspects of dimension and ring changes. Chapters 6 and 7 cover derived functors in general. Chapter 8 focuses on a special property of Tor. These three groupings are independent, as are various sections from Chapter 9, which is intended as a source of special topics. (The prerequisites for each section of Chapter 9 are stated at the beginning.) Some things have been included simply because they are hard to find else- where, and they naturally fit into the discussion. Lazard‘s theorem (Section 8.4)-is an example; Sections4,5, and 7ofChapter 9 containother examples, a
Pindex Textbook 2000
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沙發(fā)
發(fā)表于 2025-3-22 00:05:31 | 只看該作者
0072-5285 nd else- where, and they naturally fit into the discussion. Lazard‘s theorem (Section 8.4)-is an example; Sections4,5, and 7ofChapter 9 containother examples, a978-1-4612-7075-1978-1-4612-1278-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
板凳
發(fā)表于 2025-3-22 02:52:46 | 只看該作者
地板
發(fā)表于 2025-3-22 07:41:34 | 只看該作者
5#
發(fā)表于 2025-3-22 10:38:54 | 只看該作者
Toshiro Nakashima M.D.,Masamichi Kojiro M.D.ix rings, polynomial rings, and localizations. There are some generalities to the theory, however, and they not only form a backdrop for change of rings, they also ease computations for specific rings.
6#
發(fā)表于 2025-3-22 14:39:42 | 只看該作者
7#
發(fā)表于 2025-3-22 19:11:42 | 只看該作者
Ext and Tor,flat. The measure of this is contained in two new sequences of functors, Tor and Ext. While there are several ways of defining these functors (a fact that is the source of some theorems), the most straightforward way is via complexes.
8#
發(fā)表于 2025-3-22 21:54:32 | 只看該作者
9#
發(fā)表于 2025-3-23 05:26:52 | 只看該作者
Colimits and Tor, On the other hand, Tor has more properties. Up to now, this has only been reflected in the fact that Tor mixes right. -modules with left . -modules. But there’s more. Tor behaves well with respect to certain colimits, and that is the general subject of this chapter.
10#
發(fā)表于 2025-3-23 08:36:58 | 只看該作者
Martin Goodman MD,David A. Geller MDflat. The measure of this is contained in two new sequences of functors, Tor and Ext. While there are several ways of defining these functors (a fact that is the source of some theorems), the most straightforward way is via complexes.
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