Items related to Multi-Valued Fields (Siberian School of Algebra and...
For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of Prüfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of Prüfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field.
"synopsis" may belong to another edition of this title.
Review:
From the reviews:
"The book is devoted to the investigation of fields with distinguished families of valuation rings. The author has been studying the model-theoretic aspects of the theory of valued fields and multi-valued fields for more than 30 years. Many of the key results included in the book are published for the first time. So, the unique overview of the theory presented in the book has been unavailable previously." (German Pestov, Zentralblatt MATH, Vol. 1073 (24), 2005)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 1461354897
- ISBN 13 9781461354895
- BindingPaperback
- Number of pages280
Buy New
Learn more about this copy
US$ 208.34
Shipping:
FREE
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
Seller Image
Multi-Valued Fields (Siberian School of Algebra and Logic) by Ershov, Yuri L. [Paperback ]
Seller:
Rating
Book Description Soft Cover. Condition: new. Seller Inventory # 9781461354895
Buy New
US$ 208.34
Convert currency
Stock Image
Multi-Valued Fields (Siberian School of Algebra and Logic)
Published by
Springer
(2012)
ISBN 10: 1461354897
ISBN 13: 9781461354895
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Seller Inventory # ABLIING23Mar2716030032225
Buy New
US$ 229.98
Convert currency
Seller Image
Multi-Valued Fields
Published by
Springer US
(2012)
ISBN 10: 1461354897
ISBN 13: 9781461354895
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique. Seller Inventory # 4193719
Buy New
US$ 197.06
Convert currency
Stock Image
Multi-Valued Fields
Published by
Springer
(2012)
ISBN 10: 1461354897
ISBN 13: 9781461354895
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9781461354895_lsuk
Buy New
US$ 245.27
Convert currency
Seller Image
Multi-Valued Fields
Published by
Springer US
(2012)
ISBN 10: 1461354897
ISBN 13: 9781461354895
New
Taschenbuch
Quantity: 1
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of Prüfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of Prüfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field. Seller Inventory # 9781461354895
Buy New
US$ 241.86
Convert currency
Seller Image
Multi-Valued Fields
Published by
Springer US Sep 2012
(2012)
ISBN 10: 1461354897
ISBN 13: 9781461354895
New
Taschenbuch
Quantity: 2
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of Prüfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of Prüfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field. 284 pp. Englisch. Seller Inventory # 9781461354895
Buy New
US$ 326.71
Convert currency