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Standard bases and some computations in rings of power series

✍ Scribed by Thomas Becker

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
799 KB
Volume
10
Category
Article
ISSN
0747-7171

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πŸ“œ SIMILAR VOLUMES

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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

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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