Summer 2023 A CHARACTERISATION OF LOCAL N-RINGS AND AN APPLICATION TO ABSTRACT HARMONIC ANALYSIS
Bettina Wilkens
J. Commut. Algebra 15(2): 287-302 (Summer 2023). DOI: 10.1216/jca.2023.15.287

Abstract

A commutative ring with unity is called an N-ring if each of its ideals is contracted from a Noetherian extension ring. The chief result of this paper is a characterisation of local N-rings by their subdirectly irreducible quotients. The results are applied to characterise spectral synthesis on G-invariant subspaces of the space of complex valued functions on an abelian group G.

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Bettina Wilkens. "A CHARACTERISATION OF LOCAL N-RINGS AND AN APPLICATION TO ABSTRACT HARMONIC ANALYSIS." J. Commut. Algebra 15 (2) 287 - 302, Summer 2023. https://doi.org/10.1216/jca.2023.15.287

Information

Received: 6 June 2021; Revised: 19 June 2022; Accepted: 1 July 2022; Published: Summer 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4611113
zbMATH: 07725188
Digital Object Identifier: 10.1216/jca.2023.15.287

Subjects:
Primary: 13B30
Secondary: 43A45

Keywords: chain conditions , residual properties of rings , spectral synthesis on discrete groups

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.15 • No. 2 • Summer 2023
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