.
.
"Algebraic geometry".
"03C".
"18F".
"Quantum theory (mathematics)".
"81R".
"Mathematical logic and foundations".
"16G".
"2011".
"text".
"thesis".
"2014-02-04T22:52:04.306Z"^^.
"2012-10-04T13:05:02.704Z"^^.
"Zariski structures in noncommutative algebraic geometry and representation theory".
"born digital".
.
.
.
"ora:6492".
"fedoraAdmin".
"".
"urn:uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45".
"ora:6492".
"Zilber, Boris".
"Solanki, Vinesh".
.
.
.
.
.
.
.
.
"".
"en".
.
"""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.""".