Algebraic Bol loops

dc.creatorGRISHKOV, Alexander
dc.creatorNAGY, Gabor P.
dc.date.accessioned2012-10-20T04:50:50Z
dc.date.accessioned2018-07-04T15:47:02Z
dc.date.available2012-10-20T04:50:50Z
dc.date.available2018-07-04T15:47:02Z
dc.date.created2012-10-20T04:50:50Z
dc.date.issued2011
dc.identifierFORUM MATHEMATICUM, v.23, n.3, p.655-668, 2011
dc.identifier0933-7741
dc.identifierhttp://producao.usp.br/handle/BDPI/30683
dc.identifier10.1515/FORM.2011.032
dc.identifierhttp://dx.doi.org/10.1515/FORM.2011.032
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627322
dc.description.abstractIn this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems for this category. On the other hand, we present some examples showing that these loops lack some nice properties of algebraic groups; for example, we construct local algebraic Bol loops which are not birationally equivalent to global algebraic loops.
dc.languageeng
dc.publisherWALTER DE GRUYTER & CO
dc.relationForum Mathematicum
dc.rightsCopyright WALTER DE GRUYTER & CO
dc.rightsrestrictedAccess
dc.subjectBol loops
dc.subjectalgebraic loops
dc.subjectsimple loops
dc.subjectalgebraic groups as multiplication groups
dc.subjectlocal algebraic loops
dc.titleAlgebraic Bol loops
dc.typeArtículos de revistas


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