𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

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📜 SIMILAR VOLUMES


Simultaneous orderings in function field
✍ David Adam 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 203 KB

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

Root-free exterior squares over finite f
✍ Duncan Brydon 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 178 KB

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