| 书目名称 | Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings |
| 编辑 | Niels Schwartz,James J. Madden |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions. |
| 出版日期 | Book 1999 |
| 关键词 | Algebraic structure; algebra; formally real field; partially ordered ring; real spectrum; reflective subc |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0093968 |
| isbn_softcover | 978-3-540-66460-4 |
| isbn_ebook | 978-3-540-48284-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1999 |
发表于 2025-3-21 18:52:52
