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Sur le spectre réel des anneaux locaux complets.

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

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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 08:49
Last Modified:08 May 2013 17:21

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