A theorem on spherically complete valued abelian groups

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dc.creatorKuhlmann, Franz-Viktor
dc.date1997-07-30
dc.date.accessioned2026-07-07T09:15:48Z
dc.date.available2026-07-07T09:15:48Z
dc.descriptionWe give a criterion for a group homomorphism on a valued abelian group to be surjective and to preserve spherical completeness. We apply this to give a criterion for the existence of integration on a valued differential field. Further, we give a criterion for a sum of spherically complete subgroups of a valued abelian group to be spherically complete. This in turn can be used to determine elementary properties of power series fields in positive characteristic.
dc.identifierhttps://arxiv.org/abs/math/9707233
dc.identifierhttp://arxiv.org/abs/math/9707233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153141
dc.subjectRings and Algebras
dc.titleA theorem on spherically complete valued abelian groups
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