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Simple Theories / by Frank O. Wagner
(Mathematics and Its Applications ; 503)
版 | 1st ed. 2000. |
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出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 2000 |
本文言語 | 英語 |
大きさ | XIII, 260 p : online resource |
著者標目 | *Wagner, Frank O author SpringerLink (Online service) |
件 名 | LCSH:Mathematical logic LCSH:Group theory LCSH:Commutative algebra LCSH:Commutative rings FREE:Mathematical Logic and Foundations FREE:Group Theory and Generalizations FREE:Commutative Rings and Algebras |
一般注記 | Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of `forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and of rank in the supersimple case) applicable to a wide class of algebraic structures. The basic theory of forking independence is developed, and its properties in a simple structure are analyzed. No prior knowledge of stability theory is assumed; in fact many stability-theoretic results follow either from more general propositions, or are developed in side remarks. Audience: This book is intended both as an introduction to simplicity theory accessible to graduate students with some knowledge of model theory, and as a reference work for research in the field HTTP:URL=https://doi.org/10.1007/978-94-017-3002-0 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789401730020 |
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EB00226538 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000121663 |
ISBN | 9789401730020 |
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