Vinicius Cifú Lopes
Abstract
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We provide a characterization of the complete theories, all of whose models have the same Grothendieck semiring as those in which a certain weaker version of piecewise definable triviality holds. We also list some examples and properties of this poor triviality.
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We provide a characterization of the complete theories, all of whose models have the same Grothendieck semiring as those in which a certain weaker version of piecewise definable triviality holds. We also list some examples and properties of this poor triviality.
Key concepts: Triviality, Semiring, Piecewise, Mathematics, Characterization (materials science), Pure mathematics, Algebra over a field, Physics