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ON ORDERED GROUPS OF MORLEY O-RANK

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dc.creator Verbovskiy, V. V.
dc.date 2018-01-01T00:00:00Z
dc.date.accessioned 2021-12-03T12:02:32Z
dc.date.available 2021-12-03T12:02:32Z
dc.identifier c8c913cf-33f7-4a09-8c0a-e9a6ef3acabb
dc.identifier 10.17377/semi.2018.15.028
dc.identifier https://avesis.sdu.edu.tr/publication/details/c8c913cf-33f7-4a09-8c0a-e9a6ef3acabb/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/94838
dc.description Given a cut s in an ordered structure M we can define a localization of Morley rank-Morley o-rank, replacing each formula in definition of Morley rank with the following partial types: the cut s extended with this formula. We prove in the paper that any ordered group of Morley o-rank 1 with boundedly many definable convex subgroups is weakly o-minimal and construct an example of an ordered group of Morley o-rank 1 and Morley o-degree at most 4.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title ON ORDERED GROUPS OF MORLEY O-RANK
dc.type info:eu-repo/semantics/article


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