| 书目名称 | Multi-Valued Fields | | 编辑 | Yuri L. Ershov | | 视频video | | | 丛书名称 | Siberian School of Algebra and Logic | | 图书封面 |  | | 描述 | For more than 30 years, the author has studied themodel-theoretic aspects of the theory of valued fields andmulti-valued fields. Many of the key results included in this bookwere obtained by the author whilst preparing the manuscript. Thus theunique overview of the theory, as developed in the book, has beenpreviously unavailable..The book deals with the theory of valued fields and mutli-valuedfields. The theory of Prüfer rings is discussed from the`geometric‘ point of view. The author shows that by introducing theZariski topology on families of valuation rings, it is possible todistinguish two important subfamilies of Prüfer rings thatcorrespond to Boolean and near Boolean families of valuation rings.Also, algebraic and model-theoretic properties of multi-valued fieldswith near Boolean families of valuation rings satisfying thelocal-global principle are studied. It is important that thisprinciple is elementary, i.e., it can be expressed in the language ofpredicate calculus. The most important results obtained in the bookinclude a criterion for the elementarity of an embedding of amulti-valued field and a criterion for the elementary equivalence formulti-valued fields from the class | | 出版日期 | Book 2001 | | 关键词 | Equivalence; addition; algebra; calculus; field | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-1307-0 | | isbn_softcover | 978-1-4613-5489-5 | | isbn_ebook | 978-1-4615-1307-0 | | copyright | Springer Science+Business Media New York 2001 |
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发表于 2025-3-21 19:23:45
