Forcing of infinity and algebras of distributions of binary semi-isolating formulas for strongly minimal theories

TL;DR

This paper explores the application of a general approach to distributions of binary isolating and semi-isolating formulas within strongly minimal theories, aiming to deepen understanding of their algebraic and model-theoretic properties.

Contribution

It introduces a novel method for analyzing distributions of formulas in strongly minimal theories, expanding the theoretical framework in model theory.

Findings

Developed a new approach for distributions of formulas in strongly minimal theories

Established connections between algebraic structures and semi-isolating formulas

Provided insights into the structure of strongly minimal theories

Abstract

We apply a general approach for distributions of binary isolating and semi-isolating formulas to the class of strongly minimal theories.