. "ora:6492". "urn:uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45". "". . . . . . . . "2012-10-04T13:05:02.704Z"^^. "2011". "". "thesis". "text". "born digital". "fedoraAdmin". "ora:6492". "en". . "Quantum theory (mathematics)". "18F". "16G". "81R". "03C". "Mathematical logic and foundations". "Algebraic geometry". """A suitable subcategory of a\uFB03ne Azumaya algebras is de\uFB01ned and a functor from this category to the category of Zariski structures is constructed. The rudiments of a theory of presheaves of topological structures is developed and applied to construct examples of structures at a generic parameter. The category of equivariant algebras is de\uFB01ned and a \uFB01rst-order theory is associated to each object. For those theories satisfying a certain technical condition, uncountable categoricity and quanti\uFB01er elimination results are established. Models are shown to be Zariski structures and a functor from the category of equivariant algebras to Zariski structures is constructed. The two functors obtained in the thesis are shown to agree on a nontrivial class of algebras.""". "2012-10-04T13:05:05.326Z"^^. . . "Solanki, Vinesh ". "Zilber, Boris". . . "Zariski structures in noncommutative algebraic geometry and representation theory". .