𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Smooth Points and M-Ideals

✍ Scribed by R. Grzaslewicz; R. Younis


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
174 KB
Volume
175
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Computing Ideals of Points
✍ J. Abbott; A. Bigatti; M. Kreuzer; L. Robbiano πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 337 KB

We address the problem of computing ideals of polynomials which vanish at a finite set of points. In particular we develop a modular Buchberger-MΓΆller algorithm, best suited for the computation over Q, and study its complexity; then we describe a variant for the computation of ideals of projective p

On Closed Ideals in Smooth Classes
✍ Vincent Thilliez πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 294 KB

We study closedness properties of ideals generated by real - analytic functions in some subrings \(\mathcal{C}\) of \(C^{\infty}(\Omega)\), where \(\Omega\) is an open subset of \(\mathbb{R}^{n}\). In contrast with the case \(\mathcal{C}=C^{\infty}(\Omega)\), which has been clarified by famous works

On Smooth Ideals in Number Fields
✍ Johannes A Buchmann; Christine S Hollinger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 310 KB

For y # R >0 an integral ideal of an algebraic number field F is called y-smooth if the norms of all of its prime ideal factors are bounded by y. Assuming the generalized Riemann hypothesis we prove a lower bound for the number F (x, y) of integral y-smooth ideals in F whose norms are bounded by x #

Behavior of Test Ideals under Smooth and
✍ A. Bravo; K.E. Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 140 KB

We investigate the behavior of the test ideal of an excellent reduced ring of prime characteristic under base change. It is shown that if h A β†’ D is a smooth homomorphism, then Ο„ A D = Ο„ D , assuming that all residue fields of A at maximal ideals are perfect and that formation of the test ideal comm

Extremal Point Sets and Gorenstein Ideal
✍ Anthony V. Geramita; Tadahito Harima; Yong Su Shin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 313 KB