|
OpenstarTs >
EUT-Periodici >
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4102
|
| Title: | Gröbner Bases for Submodules of $\mathbb Z^n$ |
| Authors: | Boffi, Giandomenico
Logar, Alessandro |
| Issue Date: | 2007 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | Giandomenico Boffi, Alessandro Logar, "Gröbner Bases for Submodules of $\mathbb Z^n$", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 43-62. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007) |
| Abstract: | We define Gröbner bases for submodules of $\mathbb Z^n$ and
characterize minimal and reduced bases combinatorially in terms
of minimal elements of suitable partially ordered subsets of $\mathbb Z^n$.
Then we show that Gröbner bases for saturated pure binomial
ideals of K[x_1, . . . , x_n], char (K) ≠ 2, can be immediately derived
from Gröbner bases for appropriate corresponding submodules
of $\mathbb Z^n$. This suggests the possibility of calculating the Gröbner
bases of the ideals without using the Buchberger algorithm. |
| URI: | http://hdl.handle.net/10077/4102 |
| ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
