Positive primitive formulae of modules over rings of semi-algebraic functions on a curve (Q494649)
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scientific article; zbMATH DE number 6477392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive primitive formulae of modules over rings of semi-algebraic functions on a curve |
scientific article; zbMATH DE number 6477392 |
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Positive primitive formulae of modules over rings of semi-algebraic functions on a curve (English)
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1 September 2015
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The paper concerns the study of the model theory for modules over rings of continuous semi-algebraic functions. The main result of the paper is a criterion for membership of positive primitive subgroups of a free module over the ring of continuous semi-algebraic functions. In addition, the author gives some generalizations of this result to arbitrary modules over the ring. At last, the author presents a quantifier elimination result to the level of positive primitive formulas.
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module over a ring
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semi-algebraic function
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positive primitive formula
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positive primitive subgroup
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semi-algebraic vector bundle
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