@prefix _12: . @prefix _13: . @prefix _14: . @prefix _15: . @prefix _16: . @prefix _17: . @prefix dc: . @prefix dcterms: . @prefix model: . @prefix ore: . @prefix owl: . @prefix rdf: . @prefix rdfs: . @prefix rdfs1: . @prefix rel: . @prefix sioc: . @prefix view: . @prefix xml: . _12:fa23b75-9b85-4dc2-9ad6-bdb20d61fe45 a model:FedoraObject; 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"; rdfs1:isDefinedBy ; model:createdDate "2012-10-04T13:05:02.704Z"^^; model:hasContentModel _16:DefaultContentModel-1; model:label "ora:6492"; model:ownerId "fedoraAdmin"; model:state model:Active; rel:isMemberOf _17:thesis; rel:isMemberOfCollection _13:thesis; view:disseminates _14:CITATION, _14:DC, _14:EVENT, _14:MARC21, _14:MODS, _14:RELS-EXT, _14:THESIS01; view:lastModifiedDate "2012-10-04T13:05:05.326Z"^^. a ore:resourceMap.