Chevalley-Warning type results on abelian groups

Erhard Aichinger; Jakob Moosbauer

doi:10.1016/j.jalgebra.2020.10.033

Chevalley-Warning type results on abelian groups

Erhard Aichinger, Jakob Moosbauer

Institute for Algebra

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

Abstract

We develop a notion of \emph{degree} for functions between two abelian groups that allows us to generalize the Chevalley-Warning Theorems from fields to noncommutative rings or abelian groups of prime power order.

Original language	English
Pages (from-to)	30-66
Number of pages	37
Journal	Journal of Algebra
Volume	569
DOIs	https://doi.org/10.1016/j.jalgebra.2020.10.033
Publication status	Published - Mar 2021

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Digital Transformation

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10.1016/j.jalgebra.2020.10.033

Cite this

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title = "Chevalley-Warning type results on abelian groups",

abstract = "We develop a notion of \textbackslash{}emph\{degree\} for functions between two abelian groups that allows us to generalize the Chevalley-Warning Theorems from fields to noncommutative rings or abelian groups of prime power order.",

author = "Erhard Aichinger and Jakob Moosbauer",

year = "2021",

month = mar,

doi = "10.1016/j.jalgebra.2020.10.033",

language = "English",

volume = "569",

pages = "30--66",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier",

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T1 - Chevalley-Warning type results on abelian groups

AU - Aichinger, Erhard

AU - Moosbauer, Jakob

PY - 2021/3

Y1 - 2021/3

N2 - We develop a notion of \emph{degree} for functions between two abelian groups that allows us to generalize the Chevalley-Warning Theorems from fields to noncommutative rings or abelian groups of prime power order.

AB - We develop a notion of \emph{degree} for functions between two abelian groups that allows us to generalize the Chevalley-Warning Theorems from fields to noncommutative rings or abelian groups of prime power order.

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U2 - 10.1016/j.jalgebra.2020.10.033

DO - 10.1016/j.jalgebra.2020.10.033

M3 - Article

SN - 0021-8693

VL - 569

SP - 30

EP - 66

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Chevalley-Warning type results on abelian groups

Abstract

Fields of science

JKU Focus areas

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Clonoids: a unifying approach to equational logic and clones

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Chevalley-Warning type results on abelian groups

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Projects

Clonoids: a unifying approach to equational logic and clones

Cite this