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Zustand: Good. Volume 121. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1400grams, ISBN:9780521873086.

First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: xviii, 380 pages; 21cm. Notes:Includes bibliographical references and indexes.Contents: Cover; Title; Copyright; Dedication; Preface; Contents; Introduction; Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; Chapter 1 Some preliminaries; 1.1 An introduction to model theory; 1.2 Injective modules and decomposition theorems; Chapter 2 Positive primitive formulas and the sets they define; 2.1 pp formulas; 2.2 pp-types; 2.3 Pure embeddings and pure-injective modules; 2.4 pp-elimination of quantifiers; 2.5 Immediate corollaries of pp-elimination of quantifiers; 2.6 Comparison of complete theories of modules2.Z pp formulas and types in abelian groups2.L Other languages; Chapter 3 Stability and totally transcendental modules; 3.1 Stability for modules; 3.2 A structure theorem for totally transcendental modules; part I; 3.A Abelian structures; Chapter 4 Hulls; 4.1 pp-essential embeddings and the construction of hulls; 4.2 Examples of hulls; 4.3 Decomposition of injective and pure-injective modules; 4.4 Irreducible types; 4.5 Limited and unlimited types; 4.6 A structure theory for totally transcendental modules; part II; 4.C Categoricity; 4.7 The space of indecomposablesChapter 5 Forking and ranks5.1 Forking and independence; 5.2 Ranks; 5.3 An algebraic characterisation of independence; 5.4 Independence when T = TXo; Chapter 6 Stability-theoretic properties of types; 6.1 Free parts of types and the stratified order; 6.2 Domination and the RK-order; 6.3 Orthogonality and the RK-order; 6.4 Regular types; 6.1 An example: injective modules over noetherian rings; 6.5 Saturation and pure-injective modules; 6.6 Multiplicity and strong types; Chapter 7 Superstable modules; 7.1 Superstable modules: the uncountable spectrum; 7.2 Modules of U-rank 1 7.3 Modules of finite U-rankChapter 8 The lattice of pp-types and free realisations of pp-types; 8.1 The lattice of pp-types; 8.2 Finitely generated pp-types; 8.3 pp-types and matrices; 8.4 Duality and pure-semisimple rings; Chapter 9 Types and the structure of pure-injective modules; 9.1 Minimal pairs; 9.2 Associated types; 9.3 Notions of isolation; 9.4 Neg-isolated types and elementary cogenerators; Chapter 10 Dimension and decomposition; 10.1 Existence of indecomposable direct summands; 10.2 Dimensions defined on lattices; 10.3 Modules with width 10.4 Classification for theories with dimension10.5 Krull dimension; 10.T Teq; 10.6 Dimension and height; 10.V Valuation rings; Chapter 11 Modules over artinian rings; 11.1 Pure-semisimple rings; 11.2 Pure-semisimple rings and rings of finite representation type; 11.3 Finite hulls over artinian rings; 11.4 Finite Morley rank and finite representation type; 11.P "Pathologies"; Chapter 12 Functor categories; 12.1 Functors defined from pp formulas; 12.2 Simple functors; 12.3 Embedding into functor categories; 12.P Pure global dimension and dimensions of functor categories Chapter 13 Modules over Artin algebrasSubjects: Model theory.Modules (Algebra)Model theory. Modules (Algebra) Model theory.Modules (Algebra)Théorie des modèles.Modules (Algèbre)Model theory. Modules (Algebra). Modèles, Théorie des. Modules (algèbre)MATHEMATICS General.Algebra Modules 3 Kg.

Broschur, Gr.-8°. Zustand: Gut. 1. 380 S. Das Buch ist in gutem, sauberen Zustand. Einband berieben / fleckig. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt:. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed.In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time. Introduction; Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; 1. Some preliminaries; 2. Positive primitive formulas and the sets they define; 3. Stability and totally transcendental modules; 4. Hulls; 5. Forking and ranks; 6. Stability-theoretic properties of types; 7. Superstable modules; 8. The lattice of pp-types and free realisations of pp-types; 9. Types and the structure of pure-injective modules; 10. Dimension and decomposition; 11. Modules over artinian rings; 12. Functor categories; 13. Modules over artin algebras; 14. Projective and flat modules; 15. Torsion and torsionfree classes; 16. Elimination of quantifiers; 17. Decidability and undecidability; Problems page; Bibliography; Examples index; Notation index; Index. ISBN: 9780521348331 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 590.

First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: xviii, 380 pages; 21cm. Notes:Includes bibliographical references and indexes.Contents: Cover; Title; Copyright; Dedication; Preface; Contents; Introduction; Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; Chapter 1 Some preliminaries; 1.1 An introduction to model theory; 1.2 Injective modules and decomposition theorems; Chapter 2 Positive primitive formulas and the sets they define; 2.1 pp formulas; 2.2 pp-types; 2.3 Pure embeddings and pure-injective modules; 2.4 pp-elimination of quantifiers; 2.5 Immediate corollaries of pp-elimination of quantifiers; 2.6 Comparison of complete theories of modules2.Z pp formulas and types in abelian groups2.L Other languages; Chapter 3 Stability and totally transcendental modules; 3.1 Stability for modules; 3.2 A structure theorem for totally transcendental modules; part I; 3.A Abelian structures; Chapter 4 Hulls; 4.1 pp-essential embeddings and the construction of hulls; 4.2 Examples of hulls; 4.3 Decomposition of injective and pure-injective modules; 4.4 Irreducible types; 4.5 Limited and unlimited types; 4.6 A structure theory for totally transcendental modules; part II; 4.C Categoricity; 4.7 The space of indecomposablesChapter 5 Forking and ranks5.1 Forking and independence; 5.2 Ranks; 5.3 An algebraic characterisation of independence; 5.4 Independence when T = TXo; Chapter 6 Stability-theoretic properties of types; 6.1 Free parts of types and the stratified order; 6.2 Domination and the RK-order; 6.3 Orthogonality and the RK-order; 6.4 Regular types; 6.1 An example: injective modules over noetherian rings; 6.5 Saturation and pure-injective modules; 6.6 Multiplicity and strong types; Chapter 7 Superstable modules; 7.1 Superstable modules: the uncountable spectrum; 7.2 Modules of U-rank 1 7.3 Modules of finite U-rankChapter 8 The lattice of pp-types and free realisations of pp-types; 8.1 The lattice of pp-types; 8.2 Finitely generated pp-types; 8.3 pp-types and matrices; 8.4 Duality and pure-semisimple rings; Chapter 9 Types and the structure of pure-injective modules; 9.1 Minimal pairs; 9.2 Associated types; 9.3 Notions of isolation; 9.4 Neg-isolated types and elementary cogenerators; Chapter 10 Dimension and decomposition; 10.1 Existence of indecomposable direct summands; 10.2 Dimensions defined on lattices; 10.3 Modules with width 10.4 Classification for theories with dimension10.5 Krull dimension; 10.T Teq; 10.6 Dimension and height; 10.V Valuation rings; Chapter 11 Modules over artinian rings; 11.1 Pure-semisimple rings; 11.2 Pure-semisimple rings and rings of finite representation type; 11.3 Finite hulls over artinian rings; 11.4 Finite Morley rank and finite representation type; 11.P "Pathologies"; Chapter 12 Functor categories; 12.1 Functors defined from pp formulas; 12.2 Simple functors; 12.3 Embedding into functor categories; 12.P Pure global dimension and dimensions of functor categories Chapter 13 Modules over Artin algebrasSubjects: Model theory.Modules (Algebra)Model theory. Modules (Algebra) Model theory.Modules (Algebra)Théorie des modèles.Modules (Algèbre)Model theory. Modules (Algebra). Modèles, Théorie des. Modules (algèbre)MATHEMATICS General.Algebra Modules 1 Kg.

Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00325 9780821847671 Sprache: Englisch Gewicht in Gramm: 150.

Zustand: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.

Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 PRE 9780521348331 Sprache: Englisch Gewicht in Gramm: 1150.

Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 PRE 9780521348331 Sprache: Englisch Gewicht in Gramm: 1150.

Zustand: As New. Unread book in perfect condition.

First Edition. Near fine copy in the original stiff-card wrappers. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description : (xviii, 380 pages). Subjects : Model theory. Modules (Algebra). Modules (algèbre). MATHEMATICS General. 3 Kg.

kartoniert kartoniert. Zustand: Sehr gut. 380 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 576.

Zustand: New.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

First Edition. Near fine copy in the original stiff-card wrappers. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description : (xviii, 380 pages). Subjects : Model theory. Modules (Algebra). Modules (algèbre). MATHEMATICS General. 1 Kg.

Zustand: As New. Unread book in perfect condition.

Zustand: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Paperback. Zustand: Fair. No Jacket. Former library book; Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less.

Zustand: New. pp. 400 Index.

Paperback. Zustand: Brand New. 2nd edition. 338 pages. 9.00x6.00x0.75 inches. In Stock.

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.

Zustand: New.

hardcover. Zustand: New.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

Zustand: As New. Unread book in perfect condition.