Degree upper bounds for H-Bases
The main objective of this paper is to present upper bounds for the degree of H-bases of polynomial ideals. For this purpose, we introduce the new concept of reduced H-bases and show that the maximal degree of the elements of any reduced H-basis of an ideal is independent of the choice of the basis. Furthermore, we show that, given an ideal, this maximal degree is invariant after performing any linear change of variables on the ideal. These results allow us to establish explicit degree upper bounds in the case of either a zero-dimensional ideal or an ideal generated by a regular sequence.
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.