2.50
Hdl Handle:
http://hdl.handle.net/10547/297104
Title:
Strong subgroup chains and the Baer–Specker group
Authors:
Kolman, Oren
Abstract:
Examples are given of non-elementary properties that are preserved under Cfiltrations for various classes C of abelian groups. The Baer-Specker group ℤw is never the union of a chain áAa : a < dñ of proper subgroups such that ℤw/Aa is cotorsionfree. Cotorsionfree groups form an abstract elementary class (AEC). The Kaplansky invariants of ℤw/ℤ(w) are used to determine the AECs (ℤw/ℤ(w)) and (B/A), where B/A is obtained by factoring the Baer- Specker group B of a ZFC extension by the Baer-Specker group A of the ground model, under various hypotheses, yielding information about its stability spectrum.
Citation:
Kolman, O. (2008) 'Strong subgroup chains and the Baer-Specker group', in Göbel, R. & Goldsmith, B. (eds.) Models, modules and abelian groups: In memory of A.L.S. Corner. Berlin: Walter De Gruyter, pp. 187-198.
Publisher:
Walter de Gruyter
Issue Date:
2008
URI:
http://hdl.handle.net/10547/297104
Additional Links:
http://www.degruyter.com/view/books/9783110203035/9783110203035.187/9783110203035.187.xml
Type:
Book chapter
Language:
en
ISBN:
9783110203035
Appears in Collections:
Centre for Research in Distributed Technologies (CREDIT)

Full metadata record

DC FieldValue Language
dc.contributor.authorKolman, Orenen_GB
dc.date.accessioned2013-07-29T09:45:40Z-
dc.date.available2013-07-29T09:45:40Z-
dc.date.issued2008-
dc.identifier.citationKolman, O. (2008) 'Strong subgroup chains and the Baer-Specker group', in Göbel, R. & Goldsmith, B. (eds.) Models, modules and abelian groups: In memory of A.L.S. Corner. Berlin: Walter De Gruyter, pp. 187-198.en_GB
dc.identifier.isbn9783110203035-
dc.identifier.urihttp://hdl.handle.net/10547/297104-
dc.description.abstractExamples are given of non-elementary properties that are preserved under Cfiltrations for various classes C of abelian groups. The Baer-Specker group ℤw is never the union of a chain áAa : a < dñ of proper subgroups such that ℤw/Aa is cotorsionfree. Cotorsionfree groups form an abstract elementary class (AEC). The Kaplansky invariants of ℤw/ℤ(w) are used to determine the AECs (ℤw/ℤ(w)) and (B/A), where B/A is obtained by factoring the Baer- Specker group B of a ZFC extension by the Baer-Specker group A of the ground model, under various hypotheses, yielding information about its stability spectrum.en_GB
dc.language.isoenen
dc.publisherWalter de Gruyteren_GB
dc.relation.urlhttp://www.degruyter.com/view/books/9783110203035/9783110203035.187/9783110203035.187.xmlen_GB
dc.subjectCotorsionen_GB
dc.subjectBaer-Specker groupen_GB
dc.subjectKaplansky invariantsen_GB
dc.subjectAbstract elementary classen_GB
dc.subjectInfinitary logicen_GB
dc.titleStrong subgroup chains and the Baer–Specker groupen
dc.typeBook chapteren
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