Commutative rings and binomial coefficients
β Scribed by F. Halter-Koch; W. Narkiewicz
- Publisher
- Springer Vienna
- Year
- 1992
- Tongue
- English
- Weight
- 144 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0026-9255
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## Abstract We consider the expression and investigate for which __k__ and __n__ is __P__(__k__, __n__) an integer. We find integer solutions __k__ and __m__ of the equation __P__(__k__, __n__) = __m__ for a given integer __m__ and approximate real solutions __x__ = __x__(__k__) of the equation __
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 se