Mendeley出力
＜図書＞
Homological algebra
| 責任表示 | by Henri Cartan and Samuel Eilenberg |
|---|---|
| シリーズ | Princeton mathematical series ; 19 |
| データ種別 | 図書 |
| 出版情報 | Princeton : Princeton University Press , 1956 |
| 本文言語 | 英語 |
| 大きさ | xv, 390 p. : ill. ; 24 cm |
| 概要 | When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the field... and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied. The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors." This mathematical masterpiece will appeal to all mathematicians working in algebraic topology. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6827232 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | CART/30/6D | 1956 |
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068222480006098 |
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理系図3F 数理独自 | CART/30/6C | 1956 |
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068222480006668 |
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理系図3F 数理独自 | CART/30/6A | 1956 |
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068222480066638 |
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理系図3F 数理独自 | CART/30/6 | 1956 |
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068222480066641 |
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理系図3F 数理独自 | CART/30/6B | 1956 |
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068222480066653 |
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理系図 自動書庫 | 107/CAR | 1956 |
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027232003213544 |
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理系図 自動書庫 | 107/CAR | 1956 |
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027232003213556 |
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理系図 自動書庫 | 412.8/C 23/1A | 1965 |
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068582480061958 |
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書誌詳細
| 一般注記 | Includes index |
|---|---|
| 著者標目 | *Cartan, Henri Paul, 1904- Eilenberg, Samuel |
| 件 名 | LCSH:Algebra, Homological NDLSH:ホモロジー代数 |
| 分 類 | LCC:QA611 DC:513.83 NDC8:411.76 |
| 書誌ID | 1001086170 |
| ISBN | 0691079773 |
| NCID | BA00756383 |
| 巻冊次 | ISBN:0691079773 |
| 登録日 | 2009.09.17 |
| 更新日 | 2009.11.02 |