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arXiv · 2107.12644

On the distribution of prime divisors in class groups of affine monoid algebras

Victor Fadinger·Daniel Windisch
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Abstract

We investigate the class groups and the distribution of prime divisors in affine monoid algebras over fields and thereby extend the result of Kainrath that every finitely generated integral algebra of Krull dimension at least 2 over an infinite field has infinitely many prime divisors in all classes.

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Victor Fadinger, Daniel Windisch. 2021-07-27. On the distribution of prime divisors in class groups of affine monoid algebras. https://arxiv.org/abs/2107.12644

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