Alonso García, María Emilia and Andradas Heranz, Carlos (1986) Sur le spectre réel des anneaux locaux complets. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 303 (9). pp. 415-416. ISSN 0764-4442
Official URL: http://www.sciencedirect.com/science/journal/07644442
Abstract
We study the real spectrum of complete local rings with real closed residue field. We show that for every constructible subset C the following hold: (1) the closure C of C is constructible, and (2) C has a finite number of connected components and these are constructible. Also we define semialgebroid sets and show that they satisfy the same ‘elementary’ properties as semialgebraic sets.
| Item Type: | Article |
|---|---|
| Additional Information: | (French. English summary) [Real spectrum of complete local rings] |
| Uncontrolled Keywords: | Real spectrum of complete local rings; Semialgebroid sets; Semialgebraic sets |
| Subjects: | Sciences > Mathematics > Algebraic geometry |
| ID Code: | 14883 |
| Deposited On: | 19 Apr 2012 10:49 |
| Last Modified: | 08 May 2013 19:21 |
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