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

Victor Fadinger; Daniel Windisch

doi:10.1080/00927872.2021.2023888

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

Victor Fadinger^*, Daniel Windisch

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	2973-2982
Seitenumfang	10
Fachzeitschrift	Communications in Algebra
Jahrgang	50
Ausgabenummer	7
DOIs	https://doi.org/10.1080/00927872.2021.2023888
Publikationsstatus	Veröffentlicht - 2022

ASJC Scopus subject areas

Algebra und Zahlentheorie

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10.1080/00927872.2021.2023888Lizenz: CC BY 4.0

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title = "On the distribution of prime divisors in class groups of affine monoid algebras",

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.",

keywords = "affine monoid, Affine monoid algebras, class groups, monoid algebras, prime divisors",

author = "Victor Fadinger and Daniel Windisch",

year = "2022",

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KW - affine monoid

KW - Affine monoid algebras

KW - class groups

KW - monoid algebras

KW - prime divisors

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DO - 10.1080/00927872.2021.2023888

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JO - Communications in Algebra

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

Abstract

ASJC Scopus subject areas

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