Extension of bounded root functionals of a system of polynomial equations

Details Extension of bounded root functionals of a system of polynomial equations Extension of bounded root functionals of a system of polynomial equations

2008-04-15

arxiv.org/abs/0804.2420v8

Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 7, 35--42. MR2010106 (2004m:13028)

Mathematics

Commutative Algebra

Published at Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 7, 35--42 in English. Summary translated from

Scientific paper

The notion of a root functional of a system of polynomials or ideal of polynomials is a generalization of the notion of a root, in particular, for a multiple root. A root functional is a linear functional that is defined on a polynomial ring and annuls the ideal of polynomials. A bounded root functional is a functional that annuls d-th component of the ideal in some filtration in this ideal. The paper consider bounded root functionals and their extension operation for a system of polynomial equation at which the number of equations is equal to the number of unknows. The extension operation has connection with the multivariate Bezoutian construction.

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