Publication:
Interpretable groups in Mann pairs

dc.contributor.departmentGraduate School of Sciences and Engineering
dc.contributor.kuauthorGöral, Haydar
dc.contributor.schoolcollegeinstituteGRADUATE SCHOOL OF SCIENCES AND ENGINEERING
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.sponsoredbyTubitakEuN/A
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.urihttps://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.language.isoeng
dc.publisherSpringer Heidelberg
dc.relation.ispartofArchive for Mathematical Logic
dc.subjectMathematics
dc.subjectLogic
dc.titleInterpretable groups in Mann pairs
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGöral, Haydar
local.publication.orgunit1GRADUATE SCHOOL OF SCIENCES AND ENGINEERING
local.publication.orgunit2Graduate School of Sciences and Engineering
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