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Preprint Number 365
365. Vinesh Solanki Equivariant Zariski Structures E-mail: Submission date: 22 October 2011 Abstract: A category of equivariant algebras is defined after introducing some important examples (e.g. first Weyl algebra, certain quantum tori at generic parameter). To each equivariant algebra, a first-order theory is assigned. Model-theoretic results are established (uncountable categoricity, quantifier elimination to the level of positive existential formulas) and that an appropriate dimension theory exists for models, making them Zariski structures. A functor from the category of equivariant algebras to the category of Zariski structures is defined and further properties of equivariant structures are briefly discussed. Mathematics Subject Classification: 03C65 Keywords and phrases: Zariski structures, noncommutative algebraic geometry, geometric representation theory, quantized algebras. |

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