Construction of Involutive Monomial Sets for Different Involutive Divisions
Commutative Algebra
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Rings and Algebras
Abstract
We consider computational and implementation issues for the completion of monomial sets to involution using different involutive divisions. Every of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of a Groebner basis, generally redundant. We also compare our Mathematica implementation of Janet division to an implementation in C.
Cite
@article{arxiv.math/9912031,
title = {Construction of Involutive Monomial Sets for Different Involutive Divisions},
author = {Vladimir P. Gerdt and Vladimir V. Kornyak and Matthias Berth and Guenter Czichowski},
journal= {arXiv preprint arXiv:math/9912031},
year = {2025}
}
Comments
13 pages