Weak normalisation and the power series rings
β Scribed by Alok Kumar Maloo
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 235 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series wit
We show that w.r.t. fixed admissible term order, every ideal in a ring of power series over a field has a unique reduced standard basis. Furthermore, we show that a finite set of power series whose lowest terms are pairwise relatively prime is a standard basis. Finally, a second criterion for detect