Border bases and kernels of homomorphisms and of derivations
AbstractBorder 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.
2008 ◽
Vol 2
(4)
◽
pp. 587-599
◽
2014 ◽
Vol 24
(08)
◽
pp. 1157-1182
◽
2020 ◽
Vol 30
(08)
◽
pp. 1565-1576
Keyword(s):
Keyword(s):
2011 ◽
Vol 48
(4)
◽
pp. 458-474
Keyword(s):
2009 ◽
Vol 37
(10)
◽
pp. 3424-3437
◽
Keyword(s):
2003 ◽
Vol 14
(1)
◽
pp. 1-10
◽