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arxiv: 0808.2522 · v1 · submitted 2008-08-19 · 🧮 math.AG · math.LO

Unification theorems in algebraic geometry

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keywords algebraicgeometryarbitraryfinitelygeneratedalgebraalgebrasalong
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In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along the way we lay down foundations of algebraic geometry over arbitrary algebraic structures.

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