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_13:fa23b75-9b85-4dc2-9ad6-bdb20d61fe45 dc:creator "Solanki, Vinesh",
"Zilber, Boris";
dc:date "2011";
dc:description """A suitable subcategory of aﬃne Azumaya algebras is deﬁned 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 deﬁned
and a ﬁrst-order theory is associated to each object. For those theories satisfying a certain technical condition, uncountable categoricity and quantiﬁer 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.""";
dc:format "born digital";
dc:identifier "",
"ora:6492",
"urn:uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45";
dc:language "en";
dc:relation "";
dc:subject "03C",
"16G",
"18F",
"81R",
"Algebraic geometry",
"Mathematical logic and foundations",
"Quantum theory (mathematics)";
dc:title "Zariski structures in noncommutative algebraic geometry and representation theory";
dc:type "text",
"thesis";
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