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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Official URL: http://dx.doi.org/10.1016/j.jmaa.2014.03.041
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 |
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| 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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