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On generalized multiplication groups of the commutative Moufang loops

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dc.contributor.author SYRBU, P.
dc.contributor.author GRECU, I.
dc.date.accessioned 2020-11-06T07:32:51Z
dc.date.available 2020-11-06T07:32:51Z
dc.date.issued 2018
dc.identifier.citation SYRBU, P., GRECU, I. On generalized multiplication groups of the commutative Moufang loops. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 106-107. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11179
dc.description Only Abstract en_US
dc.description.abstract The multiplication groups of quasigroups, i.e. the groups generated by all left and right translations, represent an efficient tool in the theory of quasigroups (loops). Belousov considered the groups, generated by all left, right and middle translations of a quasigroup, called the generalized multiplication group. He remarked that these groups are invariant under parastrophy of quasigroups, and found a set of generators for the stabilizer of a fixed element in the generalized multiplication group. The generalized multiplication groups and the generalized inner mapping groups are invariant under the isostrophy of loops. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject quasigroups en_US
dc.subject multiplication groups en_US
dc.subject inner mapping groups en_US
dc.subject commutative Moufang loops en_US
dc.title On generalized multiplication groups of the commutative Moufang loops en_US
dc.type Article en_US


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