Annals of Pure and Applied Logic 171 (9):102822 (2020)

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.
Keywords Positive logic  h-inductive theory  h-universal theory positively existentially closed  positively closed  positively algebraically closed
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DOI 10.1016/j.apal.2020.102822
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