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dc.contributor.authorKrapež, Aleksandaren
dc.contributor.authorTaylor, Marken
dc.date.accessioned2020-05-02T16:41:51Z-
dc.date.available2020-05-02T16:41:51Z-
dc.date.issued1991-08-01en
dc.identifier.issn0001-9054en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2364-
dc.description.abstractV. D. Belousov (1925-88) made numerous contributions to the study of quasigroups. In particular, his lengthy 1966 paper "Balanced identities in quasigroups" [4] contains what has been described as a "very significant" and "remarkable" theorem [11, pp. 68-69]. Remarkable though it was, this theorem provided only a partial answer to the question as to which balanced equations on quasigroups gave rise to group isotopes. Although not specifically addressed in the paper [12], a characterization of the balanced equations in question may be derived from a generalization of Belousov's Theorem due to E. Falconer. The first author explicitly solved the problem in 1979; however his characterization was of a technical nature and depended on machinery developed over three papers [13]. In 1985 Belousov found a characterization which is not only elegant but also lends itself to a simple proof [5]. The purpose of this paper is to provide sufficient background for the non specialist to understand and enjoy what we too would describe as "a remarkable theorem".en
dc.publisherSpringer Link-
dc.relation.ispartofAequationes Mathematicaeen
dc.titleQuasigroups satisfying balanced but not Belousov equations are group isotopesen
dc.typeArticleen
dc.identifier.doi10.1007/BF01818477en
dc.identifier.scopus2-s2.0-34249916576en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage37en
dc.relation.lastpage46en
dc.relation.issue1en
dc.relation.volume42en
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-9533-1739-
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