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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