The Arnon bases in the Steenrod algebra

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dc.authorscopusid55630337400
dc.authorscopusid8963773900
dc.contributor.authorTurgay N.D.
dc.contributor.authorKaraca I.
dc.date.accessioned2023-01-12T20:23:50Z
dc.date.available2023-01-12T20:23:50Z
dc.date.issued2020
dc.departmentN/A/Departmenten_US
dc.description.abstractLet 'œ = 'œ p {\mathcal{A}=\mathcal{A}_{p}} be the mod ⢠p {\mathrm{mod}\,p} Steenrod algebra, where p is a fixed prime and let 'œ ? {\mathcal{A}{\prime}} denote the Bockstein-free part of 'œ {\mathcal{A}} at odd primes. Being a connected graded Hopf algebra, 'œ {\mathcal{A}} has the canonical conjugation ?. Using this map, we introduce a relationship between the X- A nd Z-bases of 'œ ? {\mathcal{A}{\prime}}. We show that these bases restrict to give bases to the well-known sub-Hopf algebras 'œ ⢠(n-1) {\mathcal{A}(n-1)}, n ? 1 {n\geq 1}, of 'œ ? {\mathcal{A}{\prime}}. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.en_US
dc.identifier.doi10.1515/gmj-2018-0076
dc.identifier.endpage654en_US
dc.identifier.issn1072947X
dc.identifier.issn1072-947Xen_US
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85057023771en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage649en_US
dc.identifier.urihttps://doi.org/10.1515/gmj-2018-0076
dc.identifier.urihttps://hdl.handle.net/11454/79777
dc.identifier.volume27en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherDe Gruyter Open Ltden_US
dc.relation.ispartofGeorgian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAdem relationsen_US
dc.subjectantipodeen_US
dc.subjectArnon basisen_US
dc.subjectHopf algebraen_US
dc.subjectmonomial basisen_US
dc.subjectSteenrod algebraen_US
dc.subjectWall basisen_US
dc.titleThe Arnon bases in the Steenrod algebraen_US
dc.typeArticleen_US

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