𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algebraic extensions of the field of rational functions

✍ Scribed by Marvin Tretkoff


Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
315 KB
Volume
24
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


E-Algebraic Functions over Fields of Pos
✍ Habib Sharif πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 158 KB

A function or a power series f is called differentially algebraic if it satisfies a Ε½ X Ε½ n. . differential equation of the form P x, y, y , . . . , y s 0, where P is a nontrivial polynomial. This notion is usually defined only over fields of characteristic zero and is not so significant over fields

Punctured Distributions in the Rational
✍ Sunghan Bae πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 150 KB

Let M be a nonconstant polynomial in the polynomial ring R T =F q [T ] over the finite field F q . We show that the universal ordinary punctured distribution on 1 M R T Γ‚R T is a free abelian group and determine its rank. We also compute the torsion subgroups of the universal ordinary punctured even

Convergent Extensions of Grid-Functions
✍ R. Kornhuber πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 469 KB

It is well-known that functions uEWmlp(R) can be extended by a bounded linear operator E to functions EuC Wm7p(R"), if R is C"-regular and m s M . Here we prove a corresponding result for grid-functions with extension operators E, converging to E and mention some applications.

Pro-pGalois Groups of Algebraic Extensio
✍ Ido Efrat πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 394 KB

For a prime number p we characterize the finitely generated maximal pro-p Galois groups of algebraic extensions of Q. This generalizes a characterization by Jensen and Prestel of the maximal abelian quotients of these Galois groups. As an application we show that the Witt rings of the algebraic exte