KRULL DIMENSION OF GENERALIZED WEYL ALGEBRAS AND ITERATED SKEW POLYNOMIAL-RINGS - COMMUTATIVE COEFFICIENTS

Authors
BAVULA V VANOYSTAEYEN F
Citation
V. Bavula et F. Vanoystaeyen, KRULL DIMENSION OF GENERALIZED WEYL ALGEBRAS AND ITERATED SKEW POLYNOMIAL-RINGS - COMMUTATIVE COEFFICIENTS, Journal of algebra (Print), 208(1), 1998, pp. 1-34
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of algebra (Print) → ACNP
ISSN journal
00218693
Volume
208
Issue
1
Year of publication
1998
Pages
1 - 34
Database
ISI
SICI code
0021-8693(1998)208:1<1:KDOGWA>2.0.ZU;2-N
Abstract
Many rings that have enjoyed growing interest in recent years, e.g., q uantum enveloping algebras, quantum matrices, certain Witten-algebras, ...,can be presented as generalized Weyl algebras. In the paper we dev elop techniques for calculating dimensions, here mainly the Krull dime nsion in the sense of Rentschler-Gabriel, of such generalized Weyl alg ebras and specify the results for some popular algebras including thos e mentioned above. (C) 1998 Academic Press.