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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, номер 3, страницы 123–140
(Mi basm142)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
On Bruck-Belousov Problem
Victor Shcherbacov Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Аннотация:
In this paper on the language of subgroups of the multiplication group of a quasigroup (of the associated group of a quasigroup) necessary and sufficient conditions of normality of congruences of a left (right) loop are given. These conditions can be considered as a partial answer to the problem posed in books of R. H. Bruck and V. D. Belousov about conditions of normality of all congruences of quasigroups. Results on the regularity of congruences of quasigroups and the behavior of quasigroup congruences by isotopy are given.
Ключевые слова и фразы:
Quasigroup, congruence, normal congruence.
Поступила в редакцию: 19.08.2005
Образец цитирования:
Victor Shcherbacov, “On Bruck-Belousov Problem”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2005, no. 3, 123–140
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm142 https://www.mathnet.ru/rus/basm/y2005/i3/p123
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