Abstract
The goal of this paper is to introduce some rings that play the role of the jet spaces of the quantum plane and unlike the quantum plane itself possess interesting nontrivial prime ideals. We will prove some results (Theorems 1–4) about the prime spectrum of these rings.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. Quantum Groups and Noncommutative Geometry;Yu,1988
2. Notes on quantum groups and quantum de Rham complexes;Yu;Theor. Math. Phys.,1992
3. Quantized Space-Time
4. Arithmetic Differential Equations, Mathematical Surveys and Monographs;Buium,1989
5. Geometry of nonlinear differential equations