REAL

Non-synthesizable varieties

Horváth, Gábor and Székelyhidi, László and Wilkens, Bettina (2014) Non-synthesizable varieties. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 417 (1). pp. 394-399. ISSN 0022-247X

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Abstract

In 2004 a counterexample was given for a 1965 result of R. J. Elliott claiming that discrete spectral synthesis holds on every Abelian group. Here we present a ring-theoretical approach to this problem, and show that some varieties fail to have spectral synthesis. In particular, we give a new proof for the result of the second author that spectral synthesis does not hold on Abelian groups with infinite torsion free rank.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Dr Gábor Horváth
Date Deposited: 20 Sep 2014 13:07
Last Modified: 03 Apr 2023 08:14
URI: http://real.mtak.hu/id/eprint/15606

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