Elimination of quantifiers of a theory of real closed rings.

 

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Autor: Guier Acosta, Jorge Ignacio
Format: artículo preliminar
Data de publicació:2022
Descripció:Let T* be the theory of lattice-ordered subrings, without minimal (non zero) idempontents, convex in von Neumann regular real closed rings that are divisible-proyectable and sc-regular. In this paper, a local divisibility binary relation is introduced in order to prove the elimination of quantifiers of the theory T* in the language of lattice-ordered rings adding the divisibility relation, the radical relation associated to the minimal prime spectrum and this new local divisibility relation.
Pais:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Idioma:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87524
Accés en línia:https://hdl.handle.net/10669/87524
Paraula clau:Real closed rings
Model theory
Elimination of quantifiers
projectable f-rings