On subgroups of the additive group in differentially closed fields

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dc.authorscopusid55257119400
dc.contributor.authorSüer, S.
dc.date.accessioned2024-07-18T20:17:19Z
dc.date.available2024-07-18T20:17:19Z
dc.date.issued2012
dc.description.abstractIn this paper we deal with the model theory of differentially closed fields of characteristic zero with finitely many commuting derivations. First we observe that the only known lower bound for the Lascar rank of types in differentially closed fields, announced in a paper of McGrail, is false. This gives us a new class of regular types which are orthogonal to fields. Then we classify the subgroups of the additive group of Lascar rank omega with differential-type 1 which are nonorthogonal to fields. The last parts consist of an analaysis of the quotients of the heat variety. We show that the generic type of such a quotient is locally modular. Finally, we answer a question of Phylliss Cassidy about the existence of certain Jordan-Holder type series in the negative. © 2012, Association for Symbolic Logic.en_US
dc.identifier.doi10.2178/jsl/1333566628
dc.identifier.endpage391en_US
dc.identifier.issn0022-4812
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84862582610en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage369en_US
dc.identifier.urihttps://doi.org/10.2178/jsl/1333566628
dc.identifier.urihttps://hdl.handle.net/11411/6506
dc.identifier.volume77en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Symbolic Logicen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Algebraen_US
dc.subjectGeometric Stability Theoryen_US
dc.subjectLocal Modularityen_US
dc.subjectRegular Typesen_US
dc.titleOn subgroups of the additive group in differentially closed fieldsen_US
dc.typeArticleen_US

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