𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hilbert Functions and Sally Modules

✍ Scribed by Maria Vaz Pinto

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
277 KB
Volume
192
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Swan Modules and Hilbert–Speiser Number
Swan Modules and Hilbert–Speiser Number Fields
✍ Cornelius Greither; Daniel R Replogle; Karl Rubin; Anupam Srivastav πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 114 KB

A number field K is called a Hilbert Speiser field if for each tamely ramified finite abelian extension NΓ‚K the ring of algebraic integers of N, O N , has a normal integral basis over O K , the ring of algebraic integers of K. The classical Hilbert Speiser theorem proves that the field of rational n

On Hilbert Functions and Cohomology
On Hilbert Functions and Cohomology
✍ Cristina Blancafort πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 291 KB
Hilbert Functions and Level Algebras
Hilbert Functions and Level Algebras
✍ Young Hyun Cho; Anthony Iarrobino πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 122 KB

The authors consider certain quotients A s RrI of the polynomial ring R s w x K x , . . . , x over an arbitrary field K. They first determine upper and lower 1 r bounds on the Hilbert functions of any algebra having the form A s RrV, where Ε½ . V is the largest ideal of R agreeing in degrees at least

Characteristic Spaces and Rigidity for A
Characteristic Spaces and Rigidity for Analytic Hilbert Modules
✍ Kunyu Guo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 158 KB

It is well known that a polynomial in one variable is completely determined by its zeros (counting multiplicities). We generalize this result to an ideal of polynomials in several variables by introducing the characteristic spaces of the ideal. One finds that the ideal is completely determined by it