Krull Dimension of Generalized Weyl Algebras and Iterated Skew Polynomial Rings: Commutative Coefficients

✍ Scribed by V Bavula; F van Oystaeyen

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 357 KB
• Volume: 208
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.7482

✦ Synopsis

Many rings that have enjoyed growing interest in recent years, e.g., quantum enveloping algebras, quantum matrices, certain Witten-algebras, . . . , can be presented as generalized Weyl algebras. In the paper we develop techniques for calculating dimensions, here mainly the Krull dimension in the sense of Rentschler᎐Gabriel, of such generalized Weyl algebras and specify the results for some popular algebras including those mentioned above.