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arXiv 1911.03334math.ACmath.RA
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特征为2的四元数代数集合的链

Linkage of sets of Quaternion Algebras in characteristic 2

Adam Chapman

摘要:

本文对特征为2的域上的四元数代数的联结性质作了两个新的观察:第一,一个3-联结域不一定是4-联结的(这种情况在以前的论文中是开放的),并且当基域是奇闭的时,三个不可分联结的四元数代数也是循环联结的。

英文摘要:

This note contains two new observations on the linkage properties of quaternion algebras over fields of characteristic 2: first, that a 3-linked field need not be 4-linked (a case which was left open in previous papers) and that three inseparably linked quaternion algebras are also cyclically linked when the base-field is odd-closed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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