Semi-algebraic function rings and reflectors of partially ordered rings

＜図書＞
Semi-algebraic function rings and reflectors of partially ordered rings

責任表示	Niels Schwartz, James J. Madden
シリーズ	Lecture notes in mathematics ; 1712
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c1999
本文言語	英語
大きさ	x, 279 p. : ill. ; 24 cm
概要	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 ma...s between them are determined by rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic & categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers & graduate students with an interest in real algebra & geometry, ordered algebraic structures, topology & rings of continuous functions. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7006972

一般注記	Includes bibliographical references (p. [259]-265) and index
著者標目	*Schwartz, Niels, 1950- Madden, James J.
件　名	LCSH:Semialgebraic sets LCSH:Ordered algebraic structures LCSH:Rings (Algebra)
分　類	LCC:QA3 LCC:QA564 DC21:510 s DC21:512/.4
書誌ID	1001247116
ISBN	3540664602
NCID	BA43834922
巻冊次	ISBN:3540664602
登録日	2009.09.18
更新日	2017.02.18