Publication: Interpretable groups in Mann pairs
dc.contributor.department | N/A | |
dc.contributor.kuauthor | Göral, Haydar | |
dc.contributor.kuprofile | Master Student | |
dc.contributor.schoolcollegeinstitute | Graduate School of Sciences and Engineering | |
dc.contributor.yokid | 252019 | |
dc.date.accessioned | 2024-11-09T22:49:11Z | |
dc.date.issued | 2018 | |
dc.description.abstract | In 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.indexedby | WoS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 45019 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsorship | ValCoMo [ANR-13-BS01-0006] | |
dc.description.sponsorship | MALOA [PITN-GA-2009-238381] Partially supported by ValCoMo (ANR-13-BS01-0006) and MALOA (PITN-GA-2009-238381). | |
dc.description.volume | 57 | |
dc.identifier.doi | 10.1007/s00153-017-0565-4 | |
dc.identifier.eissn | 1432-0665 | |
dc.identifier.issn | 0933-5846 | |
dc.identifier.quartile | Q3 | |
dc.identifier.scopus | 2-s2.0-85020296096 | |
dc.identifier.uri | http://dx.doi.org/10.1007/s00153-017-0565-4 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/6459 | |
dc.identifier.wos | 428317500002 | |
dc.keywords | Model theory | |
dc.keywords | Stability | |
dc.keywords | Mann pairs | |
dc.language | English | |
dc.publisher | Springer Heidelberg | |
dc.source | Archive for Mathematical Logic | |
dc.subject | Mathematics | |
dc.subject | Logic | |
dc.title | Interpretable groups in Mann pairs | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.authorid | 0000-0002-8814-6295 | |
local.contributor.kuauthor | Göral, Haydar |