LOOPS WITH INVARIANT FLEXIBILITY UNDER THE ISOSTROPHY

dc.contributor.authorSyrbu, Parascovia
dc.contributor.authorGrecu, Ion
dc.date.accessioned2020-11-02T10:51:46Z
dc.date.available2020-11-02T10:51:46Z
dc.date.issued2020
dc.description.abstractThe question ”Are the loops with universal (i.e. invariant under the isotopy of loops) flexibility law xy·x=x·yx , middle Bol loops?” is open in the theory of loops. If this conjecture is true then the loops for which a ll isostrophic loops are flexible are Moufang loops. In the present paper we prove that commutative loops with invariant flexibility under the isostrophy of loops are Mouf ang loops. In particular,we obtain that commutative IP -loops with universal flexibility are Moufang loops.en
dc.identifier.citationSYRBU, Paroscovia, GRECU, Ion. Loops with invariant flexibility under the isostrophy. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2020, nr.1 (92), pp. 122 -128. ISSN 1024-7696.en
dc.identifier.issn1024-7696
dc.identifier.urihttps://msuir.usm.md/handle/123456789/3062
dc.language.isoenen
dc.publisherInstitutul de Matematică şi Informatică al AŞMen
dc.subjectloop with universal flexibilityen
dc.subjectloop with universal flexibilityen
dc.subjectmiddle Bol loopen
dc.subjectmoufang loopen
dc.subjectisostrophyen
dc.titleLOOPS WITH INVARIANT FLEXIBILITY UNDER THE ISOSTROPHYen
dc.typeArticleen

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