التفاصيل البيبلوغرافية
| العنوان: |
Symbol length in positive characteristic |
| المؤلفون: |
Bingöl, Fatma Kader |
| المصدر: |
0022-4049 ; Journal of pure and applied algebra |
| سنة النشر: |
2024 |
| المجموعة: |
IRUA - Institutional Repository van de Universiteit Antwerpen |
| مصطلحات موضوعية: |
Mathematics |
| الوصف: |
We show that any central simple algebra of exponent p in prime characteristic p that is split by a p-extension of degree p(n) is Brauer equivalent to a tensor product of 2 center dot p(n-1) -1 cyclic algebras of degree p. If p = 2 and n >= 3, we improve this result by showing that such an algebra is Brauer equivalent to a tensor product of 5 center dot 2n-3 -1 quaternion algebras. Furthermore, we provide new proofs for some bounds on the minimum number of cyclic algebras of degree p that is needed to represent Brauer classes of central simple algebras of exponent p in prime characteristic p, which have previously been obtained by different methods. (c) 2024 Elsevier B.V. All rights reserved. |
| نوع الوثيقة: |
article in journal/newspaper |
| اللغة: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/isi/001172339600001 |
| الاتاحة: |
https://hdl.handle.net/10067/2047180151162165141 |
| Rights: |
info:eu-repo/semantics/closedAccess |
| رقم الانضمام: |
edsbas.880A78B2 |
| قاعدة البيانات: |
BASE |