Sur le spectre réel des anneaux locaux complets.



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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

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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
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(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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