Hausdorff series in a semigroup ring

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dc.contributor.authorFindik, Sehmus
dc.contributor.authorKelekci, Osman
dc.date.accessioned2024-11-07T13:32:28Z
dc.date.available2024-11-07T13:32:28Z
dc.date.issued2020
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractLet A = R < a(1), ..., a(n)> and B = R < b(1), ..., b(n)> be the semigroup rings spanned on the right zero semigroup RZ(n) = {a(1), ..., a(n)}, and on the left zero semigroup LZ(n) = {b1, ..., b(n)}, respectively, together with the identity element 1. We suggest a closed formula solving the equation w = log(e(u)e(v)) which is the evolution of the CampbellBaker-Hausdorff formula given by the Hausdorff series w = H(u, v) = u + v + 1/2[u, v] + 1/12 [u, [u, v]] + 1/12 [v, [u, v]] + ..., where [u, v] = uv - vu, in the algebras A and B.
dc.identifier.doi10.1142/S0218196720500228
dc.identifier.endpage859
dc.identifier.issn0218-1967
dc.identifier.issn1793-6500
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85081565839
dc.identifier.scopusqualityQ2
dc.identifier.startpage853
dc.identifier.urihttps://doi.org/10.1142/S0218196720500228
dc.identifier.urihttps://hdl.handle.net/11480/15443
dc.identifier.volume30
dc.identifier.wosWOS:000543524800007
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Algebra and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectHausdorff series
dc.subjectleft zero semigroup
dc.subjectright zero semigroup
dc.subjectsemigroup algebra
dc.titleHausdorff series in a semigroup ring
dc.typeArticle

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