The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra

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dc.contributor.authorTurgay, Neset Deniz
dc.contributor.authorKaji, Shizuo
dc.date.accessioned2026-02-06T18:36:04Z
dc.date.issued2017
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe mod 2 Steenrod algebra A(2) can be defined as the quotient of the mod 2 Leibniz-Hopf algebra F-2 by the Adem relations. Dually, the mod 2 dual Steenrod algebra A(2)(*)can be thought of as a sub-Hopf algebra of the mod 2 dual Leibniz-Hopf algebra F-2(*). We study A(2)(*)and F(2)(*)from this viewpoint and give generalisations of some classical results in the literature.
dc.description.sponsorshipKAKENHI; JSPS Postdoctoral Fellowships for Research Abroad; [26800043]; Grants-in-Aid for Scientific Research [26800043] Funding Source: KAKEN
dc.description.sponsorshipThe second named author was partially supported by KAKENHI, Grant-in-Aid for Young Scientists (B) 26800043 and JSPS Postdoctoral Fellowships for Research Abroad.
dc.identifier.doi10.1007/s40062-016-0163-x
dc.identifier.endpage739
dc.identifier.issn2193-8407
dc.identifier.issn1512-2891
dc.identifier.issue3
dc.identifier.orcid0000-0002-3952-7817
dc.identifier.orcid0000-0002-7856-6536
dc.identifier.scopus2-s2.0-85028617977
dc.identifier.scopusqualityQ2
dc.identifier.startpage727
dc.identifier.urihttps://doi.org/10.1007/s40062-016-0163-x
dc.identifier.urihttps://hdl.handle.net/11129/12176
dc.identifier.volume12
dc.identifier.wosWOS:000408700500008
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofJournal of Homotopy and Related Structures
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectLeibniz-Hopf algebra
dc.subjectSteenrod algebra
dc.subjectAdem relation
dc.subjectHopf algebra
dc.subjectConjugation
dc.subjectAntipode
dc.titleThe mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra
dc.typeArticle

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