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arXiv · 1110.4964

Equivariant Zariski Structures

Vinesh Solanki
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Abstract

A new class of noncommutative $k$-algebras (for $k$ an algebraically closed field) is defined and shown to contain some important examples of quantum groups. To each such algebra, a first order theory is assigned describing models of a suitable corresponding geometric space. Model-theoretic results for these geometric structures are established (uncountable categoricity, quantifier elimination to the level of existential formulas) and that an appropriate dimension theory exists, making them Zariski structures.

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BibTeXRIS

Vinesh Solanki. 2014-10-29. Equivariant Zariski Structures. https://doi.org/10.1112/jlms%2Fjdv010

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