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- W4299580306 abstract "Makar-Limanov's conjecture states that if a division ring D is finitely generated and infinite dimensional over its center k then D contains a free k-subalgebra of rank 2. In this work, we will investigate the existence of such structures in D, the division ring of fractions of the skew polynomial ring L[t;sigma], where t is a variable and $sigma$ is a k-automorphism of L. For instance, we prove Makar-Limanov's conjecture when either L is the function field of an abelian variety or the function field of the n-dimensional projective space." @default.
- W4299580306 created "2022-10-02" @default.
- W4299580306 creator A5073402842 @default.
- W4299580306 date "2013-08-29" @default.
- W4299580306 modified "2023-09-30" @default.
- W4299580306 title "Free structures in division rings" @default.
- W4299580306 doi "https://doi.org/10.48550/arxiv.1308.6602" @default.
- W4299580306 hasPublicationYear "2013" @default.
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