Orderings and square roots in ★-fields
✍ Scribed by Samuel S Holland Jr.
- Book ID
- 107774343
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 779 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For every Dedekind domain R, Bhargava defined the factorials of a subset S of R by introducing the notion of p-ordering of S, for every maximal ideal p of R. We study the existence of simultaneous ordering in the case S = R = O K , where O K is the ring of integers of a function field K over a finit
The paper is devoted to exterior squares of polynomials and matrices over the finite field F q for large q. We find the limit as d → ∞ of the probability that a monic polynomial f ∈ F q [t] of degree d has root-free exterior square. We also find the limit as d → ∞ of the probability that a matrix X