Noetherian rings of polynomial functions on abelian groups

DOI10.1007/S00010-011-0107-9zbMath1273.43008OpenAlexW2022618563MaRDI QIDQ1759600

László Székelyhidi

Publication date: 21 November 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-011-0107-9

zbMATH Keywords

spectral synthesispolynomial functionNoetherian ring

Mathematics Subject Classification ID

Difference operators (39A70) Spectral synthesis on groups, semigroups, etc. (43A45) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

Montel-type theorems for exponential polynomials ⋮ Characterization of classes of polynomial functions ⋮ Local polynomials and the Montel theorem

Cites Work

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• Polynomial mappings on Abelian groups
• The failure of spectral synthesis on some types of discrete abelian groups
• Polynomial functions and spectral synthesis
• Spectral synthesis on discrete Abelian groups
• Harmonic analysis on discrete Abelian groups
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications

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