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A note on Amitsur's noncrossed product theorem

2024/01/07 by Mehran Motiee, Motiee, Mehran
Mathematics · #Rings, Modules, and Algebras #Algebraic Geometry and Number Theory #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2401.03574

Abstract

In this note we give a short and elementary proof for a part of Amitsur's noncrossed product theorem. Our approach does not rely on well-known results of valuation theory. Instead, we employ some preliminary properties of the unit groups of formal iterated Laurent series division rings.

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