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Algebraically closed structures in positive logic
Journal article   Peer reviewed

Algebraically closed structures in positive logic

Mohammed Belkasmi
Annals of pure and applied logic, Vol.171(9), p.102822
01/10/2020
DOI: https://doi.org/10.1016/j.apal.2020.102822

Abstract

Logic Mathematics Mathematics, Applied Physical Sciences Science & Technology Science & Technology - Other Topics
In this paper we extend of the notion of algebraically closed given in the case of groups and skew fields to an arbitrary h-inductive theory. The main subject of this paper is the study of the notion of positive algebraic closedness and its relationship with the notion of positive closedness and the amalgamation property. (C) 2020 Elsevier B.V. All rights reserved.

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