ON SUBGROUPS OF THE ADDITIVE GROUP IN DIFFERENTIALLY CLOSED FIELDS

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dc.contributor.authorSueer, Sonat
dc.date.accessioned2024-07-18T20:52:00Z
dc.date.available2024-07-18T20:52:00Z
dc.date.issued2012
dc.departmentİstanbul Bilgi Üniversitesien_US
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 I 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.en_US
dc.identifier.endpage391en_US
dc.identifier.issn0022-4812
dc.identifier.issue2en_US
dc.identifier.startpage369en_US
dc.identifier.urihttps://hdl.handle.net/11411/8437
dc.identifier.volume77en_US
dc.identifier.wosWOS:000304432900001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAssoc Symbolic Logic, Incen_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.subjectRegular Typesen_US
dc.subjectLocal Modularityen_US
dc.subjectAlgebraic-Groupsen_US
dc.titleON SUBGROUPS OF THE ADDITIVE GROUP IN DIFFERENTIALLY CLOSED FIELDS
dc.typeArticle

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