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Mal'cev, Protomodular, Homological and Semi-Abelian Categories. 2004 ed..
・ISBN 978-1-4020-1961-6 hard EUR 99.99
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| 著者・編者 | Borceux, Francis / Bourn, Dominique, |
|---|---|
| シリーズ | Mathematics and Its Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2004 |
| ページ数 | 480 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-23474＞ |
解説
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory.
The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment.
The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.
The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment.
The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.