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Prime ideals in skew and $q$-skew polynomial rings
About this Title
K. R. Goodearl and E. S. Letzter
Publication: Memoirs of the American Mathematical Society
Publication Year:
1994; Volume 109, Number 521
ISBNs: 978-0-8218-2583-9 (print); 978-1-4704-0098-9 (online)
DOI: https://doi.org/10.1090/memo/0521
MathSciNet review: 1197519
MSC: Primary 16S36; Secondary 16S30, 16S32, 16U20
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries for $S$ = $R$[$y; \tau , \delta$]
- 3. Tau-delta-prime coefficient rings
- 4. Each prime ideal of $S$ is associated to a unique $\tau$-orbit in spec$R$
- 5. Annihilator primes and induced bimodules
- 6. Prime ideals in quadratic (-1)-skew extensions
- 7. Prime ideals in $S$ associated to infinite orbits. The general case
- 8. Prime ideals in $S$ associated to infinite orbits. The $q$-skew case
- 9. Prime ideals in $S$ associated to finite orbits. The general case
- 10. Prime ideals in $S$ associated to finite orbits. The $q$-skew case
- 11. Classification of prime ideals in $q$-skew extensions
- 12. Irreducible finite dimensional representations of $q$-skew extensions
- 13. Quantized Weyl algebras
- 14. Prime factors of coordinate rings of quantum matrices
- 15. Chains of prime ideals in iterated Ore extensions