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On infinite rank integral representations of groups and orders of finite lattice type

Butler, M.C.R; Campbell, John; Kovacs, L

Description

Let ∧ = ℤG be the integer group ring of a group, G, of prime order. A main result of this note is that every ∧-module with a free underlying abelian group decomposes into a direct sum of copies of the well-known indecomposable ∧-lattices of finite

dc.contributor.authorButler, M.C.R
dc.contributor.authorCampbell, John
dc.contributor.authorKovacs, L
dc.date.accessioned2015-12-13T23:09:33Z
dc.identifier.issn0003-889X
dc.identifier.urihttp://hdl.handle.net/1885/87050
dc.description.abstractLet ∧ = ℤG be the integer group ring of a group, G, of prime order. A main result of this note is that every ∧-module with a free underlying abelian group decomposes into a direct sum of copies of the well-known indecomposable ∧-lattices of finite
dc.publisherBirkhauser Verlag
dc.sourceArchiv der Mathematik
dc.titleOn infinite rank integral representations of groups and orders of finite lattice type
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume83
dc.date.issued2004
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationMigratedxPub16170
local.type.statusPublished Version
local.contributor.affiliationButler, M.C.R, University of Liverpool
local.contributor.affiliationCampbell, John, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationKovacs, L, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage297
local.bibliographicCitation.lastpage308
local.identifier.doi10.1007/s00013-004-1074-3
dc.date.updated2015-12-12T08:19:42Z
local.identifier.scopusID2-s2.0-11244300833
CollectionsANU Research Publications

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