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Research Article | Open Access

The Pontryagin dual of the multiplicative group of positive rational numbers

Chaochao Sun1( ), Yuanbo Liu2
School of Mathematics and Statistics, Linyi University, Linyi 276005, China
School of Mathematics and Information, China West Normal University, Nanchong 637009, China
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Abstract

The Pontryagin dual of the multiplicative group of positive rational numbers is constructed. Then we study its topological generators and representations.

Keywords

Pontryagin dualtopological generatorHilbert spacerepresentation
CLC number: 11M06, 11R42

References

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 20351-20360
DOI: 10.3934/math.20231037

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Sun C, Liu Y. The Pontryagin dual of the multiplicative group of positive rational numbers. AIMS Mathematics, 2023, 8(9): 20351-20360. https://doi.org/10.3934/math.20231037

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Received: 09 January 2023
Revised: 06 June 2023
Accepted: 07 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)