Algebras of distributions of binary isolating formulas of a complete theory

Ilya V. Shulepov; Sergey V. Sudoplatov

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arXiv · 1205.3473

Algebras of distributions of binary isolating formulas of a complete theory

Ilya V. Shulepov·Sergey V. Sudoplatov

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Abstract

We define a class of algebras describing links of binary isolating formulas on a set of realizations for a family of 1-types of a complete theory. We prove that a set of labels for binary isolating formulas on a set of realizations for a 1-type p forms a groupoid of a special form if there is an atomic model over a realization of p. We describe the class of these groupoids and consider features of these groupoids in a general case and for special theories. A description of the class of partial groupoids relative to families of 1-types is given.

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BibTeX RIS

Ilya V. Shulepov, Sergey V. Sudoplatov. 2012-05-15. Algebras of distributions of binary isolating formulas of a complete theory. https://arxiv.org/abs/1205.3473

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