{"product_id":"9780306110689","title":"Siberian School of Algebra and Logic","description":"\u003ch1\u003eSiberian School of Algebra and Logic\u003c\/h1\u003e \u003ch2\u003eErshov, Yuri L.\u003c\/h2\u003e \u003cp\u003eFor 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.\u003cbr\u003e  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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-08-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780306110689\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4615-1307-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 270\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46540614107276,"sku":"9780306110689","price":197.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780306110689.jpg?v=1775710592","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780306110689","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}