Title
MultiValued Fields (Siberian School of Algebra and Logic),New
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For more than 30 years, the author has studied the modeltheoretic aspects of the theory of valued fields and multivalued 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 mutlivalued fields. The theory of Prfer 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 Prfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and modeltheoretic properties of multivalued fields with near Boolean families of valuation rings satisfying the localglobal 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 multivalued field and a criterion for the elementary equivalence for multivalued 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.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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