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Prime Ideals in Skew Polynomial Rings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Goodearl, Ken R. |
| Copyright Year | 2007 |
| Abstract | The concern of this paper is to investigate the structure of skew polynomial rings (Ore extensions) of the form T = R[O; a, 6] where a and 6 are both nontrivial, and in particular to analyze the prime ideals of T. The main focus is on the case that R is commutat ive noetherian. In this case, the prime ideals of T are classified, polynomial identities and Artin-Rees separation in prime factor rings are investigated, and cliques of prime ideals are studied. The second layer condition is proved, as well as boundedness of uniform ranks for the 'pr ime factor rings corresponding to any clique. Further, q-skew derivations on noncommutat ive coefficient rings are introduced, and some preliminary results on contractions of prime ideals of T are obtained in this setting. Finally, prime ideals in quantized Weyl algebras over fields are analyzed. ~ 1992 Academic Press, Ir.c. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/81998582.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
