局部n环的表征及其在抽象调和分析中的应用

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2023-06-01 DOI:10.1216/jca.2023.15.287

B. Wilkens

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引用次数: 0

摘要

摘要。一个具有单位的交换环，如果它的每一个理想都是由一个诺瑟扩展环缩并而成，就称为N环。本文的主要结果是局部N环的子直接不可约商的刻画。将所得结果用于表征阿贝尔群G上复值函数空间的G不变子空间上的谱合成。

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A CHARACTERISATION OF LOCAL N-RINGS AND AN APPLICATION TO ABSTRACT HARMONIC ANALYSIS

A BSTRACT . A commutative ring with unity is called an N -ring if each of its ideals is contracted from an Noetherian extension ring. The chief result of the 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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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.