Name
Abstract | ||
|---|---|---|
In this paper we study standard bases for submodules of a mixed power series and polynomial ring R ź t 1 , ź , t m ź x 1 , ź , x n s respectively of their localisation with respect to a t _ -local monomial ordering for a certain class of noetherian rings R, also called Zacharias rings. The main steps are to prove the existence of a division with remainder generalising and combining the division theorems of Grauert-Hironaka and Mora and to generalise the Buchberger criterion. Everything else then translates naturally. Setting either m = 0 or n = 0 we get standard bases for polynomial rings respectively for power series rings over R as a special case. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.jsc.2016.08.009 | J. Symb. Comput. |
Keywords | Field | DocType |
primary,secondary | Standard basis,Discrete mathematics,Combinatorics,Polynomial ring,Noetherian,Remainder,Monomial,Power series,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
79 | P1 | 0747-7171 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Markwig | 1 | 0 | 1.69 |
| Yue Ren | 2 | 1 | 3.90 |
| Oliver Wienand | 3 | 30 | 4.69 |