Commutative bases of derivations in polynomial and power series rings
✍ Scribed by Andrzej Nowicki
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 206 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-4049
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📜 SIMILAR VOLUMES
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
If K is a field, let the ring R consist of finite sums of homogeneous elements in Then, R contains M, the free semi-group on the countable set of variables {x 1 , x 2 , x 3 , . . .}. In this paper, we generalize the notion of admissible order from finitely generated sub-monoids of M to M itself; as
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