Hardy type derivations on fields of exponential logarithmic series

Kurzanzeige
dc.contributor.authorKuhlmann, Salma
dc.contributor.authorMatusinski, Mickael
dc.date.accessioned2011-11-16T10:23:47Zdeu
dc.date.available2011-11-16T10:23:47Zdeu
dc.date.issued2011
dc.description.abstractWe consider the valued field K : = R ( ( Γ ) ) () of formal series (with real coefficients and monomials in a totally ordered multiplicative group Γ). We investigate how to endow K () with a logarithm l, which satisfies some natural properties such as commuting with infinite products of monomials. We studied derivations on K () (Kuhlmann and Matusinski, in press). Here, we investigate compatibility conditions between the logarithm and the derivation, i.e. when the logarithmic derivative is the derivative of the logarithm. We analyze sufficient conditions on a given derivation to construct a compatible logarithm via integration of logarithmic derivatives. In Kuhlmann (2000), the first author described the exponential closure K EL () of ( K , l ) (). Here we show how to extend such a log-compatible derivation on K () to K EL ().eng
dc.description.versionpublished
dc.identifier.citationPubl. in: Journal of Algebra ; 345 (2011), 1. - S. 171-189deu
dc.identifier.doi10.1016/j.jalgebra.2011.07.023deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/16745
dc.language.isoengdeu
dc.legacy.dateIssued2011-11-16deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectGeneralized series fieldsdeu
dc.subjectLogarithm and exponential closuredeu
dc.subjectDerivationsdeu
dc.subjectValuationsdeu
dc.subject.ddc510deu
dc.titleHardy type derivations on fields of exponential logarithmic serieseng
dc.typeJOURNAL_ARTICLEdeu
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  year={2011},
  doi={10.1016/j.jalgebra.2011.07.023},
  title={Hardy type derivations on fields of exponential logarithmic series},
  number={1},
  volume={345},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={171--189},
  author={Kuhlmann, Salma and Matusinski, Mickael}
}
kops.citation.iso690KUHLMANN, Salma, Mickael MATUSINSKI, 2011. Hardy type derivations on fields of exponential logarithmic series. In: Journal of Algebra. 2011, 345(1), pp. 171-189. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.07.023deu
kops.citation.iso690KUHLMANN, Salma, Mickael MATUSINSKI, 2011. Hardy type derivations on fields of exponential logarithmic series. In: Journal of Algebra. 2011, 345(1), pp. 171-189. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.07.023eng
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kops.sourcefieldJournal of Algebra. 2011, <b>345</b>(1), pp. 171-189. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.07.023deu
kops.sourcefield.plainJournal of Algebra. 2011, 345(1), pp. 171-189. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.07.023deu
kops.sourcefield.plainJournal of Algebra. 2011, 345(1), pp. 171-189. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.07.023eng
kops.submitter.emailkaren-ann.lindner@uni-konstanz.dedeu
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source.periodicalTitleJournal of Algebra

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