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dc.date.accessioned2017-04-05T14:56:44Z
dc.date.available2018-02-11T23:31:14Z
dc.date.created2016-07-06T11:26:38Z
dc.date.issued2016
dc.identifier.citationBrownlowe, Nathan Stammeier, Nicolai . The boundary quotient for algebraic dynamical systems. Journal of Mathematical Analysis and Applications. 2016, 438(2), 772-789
dc.identifier.urihttp://hdl.handle.net/10852/55161
dc.description.abstractWe introduce the notion of accurate foundation sets and the accurate refinement property for right LCM semigroups. For right LCM semigroups with this property, we derive a more explicit presentation of the boundary quotient. In the context of algebraic dynamical systems, we also analyse finiteness properties of foundation sets which lead us to a very concrete presentation. Based on Starling's recent work, we provide sharp conditions on certain algebraic dynamical systems for pure infiniteness and simplicity of their boundary quotient.en_US
dc.languageEN
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Unported
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/
dc.titleThe boundary quotient for algebraic dynamical systemsen_US
dc.typeJournal articleen_US
dc.creator.authorBrownlowe, Nathan
dc.creator.authorStammeier, Nicolai
cristin.unitcode185,15,13,0
cristin.unitnameMatematisk institutt
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1
dc.identifier.cristin1366453
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Mathematical Analysis and Applications&rft.volume=438&rft.spage=772&rft.date=2016
dc.identifier.jtitleJournal of Mathematical Analysis and Applications
dc.identifier.volume438
dc.identifier.issue2
dc.identifier.startpage772
dc.identifier.endpage789
dc.identifier.doihttp://dx.doi.org/10.1016/j.jmaa.2016.02.015
dc.identifier.urnURN:NBN:no-57967
dc.type.documentTidsskriftartikkelen_US
dc.type.peerreviewedPeer reviewed
dc.source.issn0022-247X
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/55161/2/BS-BQfADS.pdf
dc.type.versionAcceptedVersion


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