Border bases and kernels of homomorphisms and of derivations |
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Authors: | Janusz Zieliński |
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Affiliation: | 1.Faculty of Mathematics and Computer Science,Nicholas Copernicus University,Toruń,Poland |
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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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