%0 Journal Article
%T Stratification of prime spectrum of quantum solvable algebras
%A A. N. Panov
%J Mathematics
%D 2001
%I arXiv
%X A quantum solvable algebra is an iterated $q$-skew extension of a commutative algebra. We get finite statification of prime spectrum for quantum solvable algebras obeying some natural conditions. We prove that for any prime ideal $I$ the skew field of fractions $Fract(R/I)$ is isomorphic to the skew field of fractions of an algebra of twisted polynomials (Quantum Gel'fand-Kirillov Conjecture).
%U http://arxiv.org/abs/math/0105131v1