ON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPS

dc.contributor.authorLarionova-Cojocaru, Inga
dc.contributor.authorSyrbu, Parascovia
dc.date.accessioned2016-05-16T09:58:14Z
dc.date.available2016-05-16T09:58:14Z
dc.date.issued2015
dc.description.abstractRecursively differentiable binary quasigroups and loops, are considered in the present paper. Invariants under the recursive differentiability of binary quasigroups are found. It is shown that the recursive derivative of order one of an LIP-loop (Q;) (in particular of a left Bol loop) is an isostrophe of its core. The recursively 1-differentiable left Bol loops are studied. Some properties of recursive derivatives of order one of left Bol loops are established.en
dc.description.abstractÎn lucrare sunt studiate cvasigrupurile şi buclele recursiv derivabile. Sunt determinaţi invarianţi la derivarea recursivă a cvasigrupurilor binare. Se arată că derivatele recursive de ordinul unu ale LIP-buclelor (în particular, ale buclelor Bol la stânga) sunt izostrofi ai miezului lor. Sunt stabilite unele proprietăţi ale derivatelor recursive de ordinul unu ale buclelor Bol la stânga.
dc.identifier.citationLARIONOVA-COJOCARU, I., SYRBU, P. On recursive differentiability of binary quasigroups. In: Studia Universitatis Moldaviae. Seria Științe exacte și economice: Matematică. Informatică. Fizică. Economie. Revistă științifică. 2015, nr. 2 (82), pp. 53-60.en
dc.identifier.issn1857-2073
dc.identifier.urihttp://studiamsu.eu/?p=5044
dc.identifier.urihttps://msuir.usm.md/handle/123456789/785
dc.language.isoenen
dc.publisherCEP USMen
dc.subjectRecursively differentiable quasigroupen
dc.subjectrecursive derivativeen
dc.subjectisostropheen
dc.subjectcoreen
dc.subjectLIP-loopen
dc.subjectleft Bol loopen
dc.subjectcvasigrup recursiv derivabilen
dc.subjectderivate recursiveen
dc.subjectizostrofen
dc.subjectmiezen
dc.subjectLIP-buclăen
dc.subjectbuclă Bol la stângaen
dc.titleON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPSen
dc.title.alternativeCU PRIVIRE LA DERIVABILITATEA RECURSIVĂ A CVASIGRUPURILOR BINAREen
dc.typeArticleen

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