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

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2973-2982
Number of pages	10
Journal	Communications in Algebra
Volume	50
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2021.2023888
Publication status	Published - 2022

Keywords

affine monoid
Affine monoid algebras
class groups
monoid algebras
prime divisors

ASJC Scopus subject areas

Algebra and Number Theory

Cooperations

NAWI Graz

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10.1080/00927872.2021.2023888Licence: CC BY 4.0

Cite this

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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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language = "English",

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AB - 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.

KW - affine monoid

KW - Affine monoid algebras

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DO - 10.1080/00927872.2021.2023888

M3 - Article

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VL - 50

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Cooperations

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