Abstract
Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations.
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Zieliński, J. Border bases and kernels of homomorphisms and of derivations. centr.eur.j.math. 8, 780–785 (2010). https://doi.org/10.2478/s11533-010-0045-0
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DOI: https://doi.org/10.2478/s11533-010-0045-0