2.50
Hdl Handle:
http://hdl.handle.net/10547/279226
Title:
About the kernel of the augmentation of finitely generated Z-modules
Authors:
Conrad, Marc
Abstract:
Let M be a free finitely generated Z-module with basis B and ΔM the kernel of the homomorphism M→Z which maps B to 1. A basis of ΔM can be easily constructed from the basis B of M. Let further R be a submodule of M such that N = M/R is free. The subject of investigation is the module ΔN = (ΔM + R) / R. We compute the index [N:ΔN] and construct bases of ΔN with the help of a basis of N. Finally, the results are applied to a special class of modules which is connected with the group of cyclotomic units.
Citation:
Conrad, M., (2000) 'About the Kernel of the Augmentation of finitely generated Z-modules', Mathematical Communications 5, pp. 61-66
Publisher:
Department of Mathematics, University of Osijek
Journal:
Mathematical Communications
Issue Date:
2000
URI:
http://hdl.handle.net/10547/279226
Additional Links:
http://hrcak.srce.hr/864?lang=en
Type:
Article
Language:
en
ISSN:
1331-0623
Appears in Collections:
Centre for Research in Distributed Technologies (CREDIT)

Full metadata record

DC FieldValue Language
dc.contributor.authorConrad, Marcen_GB
dc.date.accessioned2013-04-07T21:58:36Z-
dc.date.available2013-04-07T21:58:36Z-
dc.date.issued2000-
dc.identifier.citationConrad, M., (2000) 'About the Kernel of the Augmentation of finitely generated Z-modules', Mathematical Communications 5, pp. 61-66en_GB
dc.identifier.issn1331-0623-
dc.identifier.urihttp://hdl.handle.net/10547/279226-
dc.description.abstractLet M be a free finitely generated Z-module with basis B and ΔM the kernel of the homomorphism M→Z which maps B to 1. A basis of ΔM can be easily constructed from the basis B of M. Let further R be a submodule of M such that N = M/R is free. The subject of investigation is the module ΔN = (ΔM + R) / R. We compute the index [N:ΔN] and construct bases of ΔN with the help of a basis of N. Finally, the results are applied to a special class of modules which is connected with the group of cyclotomic units.en_GB
dc.language.isoenen
dc.publisherDepartment of Mathematics, University of Osijeken_GB
dc.relation.urlhttp://hrcak.srce.hr/864?lang=enen_GB
dc.subjectaugmentationen_GB
dc.subjectcyclotomic unitsen_GB
dc.titleAbout the kernel of the augmentation of finitely generated Z-modulesen
dc.typeArticleen
dc.identifier.journalMathematical Communicationsen_GB
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