On Rayner structures
On Rayner structures
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2022
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Communications in Algebra ; 50 (2022), 3. - pp. 940-948. - Taylor & Francis. - ISSN 0092-7872. - eISSN 1532-4125
Abstract
In this note, we study substructures of generalized power series fields induced by families of well-ordered subsets of the group of exponents. We characterize the set-theoretic and algebraic properties of the induced substructures in terms of conditions on the families. We extend the work of Rayner by giving both necessary and sufficient conditions to obtain truncation closed subgroups, subrings and subfields.
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510 Mathematics
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KRAPP, Lothar Sebastian, Salma KUHLMANN, Michele SERRA, 2022. On Rayner structures. In: Communications in Algebra. Taylor & Francis. 50(3), pp. 940-948. ISSN 0092-7872. eISSN 1532-4125. Available under: doi: 10.1080/00927872.2021.1976789BibTex
@article{Krapp2022Rayne-55183,
year={2022},
doi={10.1080/00927872.2021.1976789},
title={On Rayner structures},
number={3},
volume={50},
issn={0092-7872},
journal={Communications in Algebra},
pages={940--948},
author={Krapp, Lothar Sebastian and Kuhlmann, Salma and Serra, Michele}
}
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