Perturbation of Polynomial Ideals

Full ideals of polynomial rings

✍ Alexander Kreuzer; Carl J. Maxson 📂 Article 📅 1998 🏛 Springer Vienna 🌐 English ⚖ 625 KB

Covers and fans of polynomial ideals

✍ Daniel Mall 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 776 KB

The purpose of this paper is to generalise the theory of Griibner fans. We introduce fans and covers defined by subsets of the reduced Griibner bases. Of particular interest is the case of minimal fans and covers, i.e., fans which are defined in terms of minimal generating sets contained in a reduce

Gotzmann ideals of the polynomial ring

✍ Satoshi Murai; Takayuki Hibi 📂 Article 📅 2008 🏛 Springer-Verlag 🌐 French ⚖ 278 KB

Cubature Formulae and Polynomial Ideals

✍ Yuan Xu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 172 KB

The structure of cubature formulae of degree 2 n y 1 is studied from a polynomial ideal point of view. The main result states that if I is a polynomial ideal Ž . generated by a proper set of 2 n y 1 -orthogonal polynomials and if the cardinality Ž . of the variety V I is equal to the codimension of

Generating ideals in polynomial rings

✍ S. Mandal; A. Roy 📂 Article 📅 1987 🏛 Springer-Verlag 🌐 French ⚖ 283 KB

A polynomial perturbation problem

✍ J. Killingbeck 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 243 KB