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arXiv · 2307.15914

Fields With Finitely Many Non-Commutative Division Algebras Over Them

Snehinh Sen
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Abstract

We classify fields having finitely many finite non-commutative (not necessarily central) division algebras over them. In the process, we introduce the notion of anti-closure of a field and also make comments on fields having a linear lattice of finite field extensions over them.

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Snehinh Sen. 2023-09-15. Fields With Finitely Many Non-Commutative Division Algebras Over Them. https://arxiv.org/abs/2307.15914

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