Publication:
Interpretable groups in Mann pairs

dc.contributor.departmentN/A
dc.contributor.kuauthorGöral, Haydar
dc.contributor.kuprofileMaster Student
dc.contributor.schoolcollegeinstituteGraduate School of Sciences and Engineering
dc.contributor.yokid252019
dc.date.accessioned2024-11-09T22:49:11Z
dc.date.issued2018
dc.description.abstractIn this paper, we study an algebraically closed field expanded by two unary predicates denoting an algebraically closed proper subfield k and a multiplicative subgroup . This will be a proper expansion of algebraically closed field with a group satisfying the Mann property, and also pairs of algebraically closed fields. We first characterize the independence in the triple . This enables us to characterize the interpretable groups when is divisible. Every interpretable group H in is, up to isogeny, an extension of a direct sum of k-rational points of an algebraic group defined over k and an interpretable abelian group in by an interpretable group N, which is the quotient of an algebraic group by a subgroup , which in turn is isogenous to a cartesian product of k-rational points of an algebraic group defined over k and an interpretable abelian group in .
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue45019
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsorshipValCoMo [ANR-13-BS01-0006]
dc.description.sponsorshipMALOA [PITN-GA-2009-238381] Partially supported by ValCoMo (ANR-13-BS01-0006) and MALOA (PITN-GA-2009-238381).
dc.description.volume57
dc.identifier.doi10.1007/s00153-017-0565-4
dc.identifier.eissn1432-0665
dc.identifier.issn0933-5846
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85020296096
dc.identifier.urihttp://dx.doi.org/10.1007/s00153-017-0565-4
dc.identifier.urihttps://hdl.handle.net/20.500.14288/6459
dc.identifier.wos428317500002
dc.keywordsModel theory
dc.keywordsStability
dc.keywordsMann pairs
dc.languageEnglish
dc.publisherSpringer Heidelberg
dc.sourceArchive for Mathematical Logic
dc.subjectMathematics
dc.subjectLogic
dc.titleInterpretable groups in Mann pairs
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-8814-6295
local.contributor.kuauthorGöral, Haydar

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