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Algebra and Discrete Mathematics, 2010, том 9, выпуск 1, страницы 31–40
(Mi adm19)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
RESEARCH ARTICLE
Lattices of classes of groupoids with one-sided quasigroup conditions
Jan Gałuszka Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
Аннотация:
It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of onesided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
Ключевые слова:
Groupoid, quasigroup, right quasigroup, left quasigroup, Steinitz numbers.
Поступила в редакцию: 26.11.2009 Исправленный вариант: 26.11.2009
Образец цитирования:
Jan Gałuszka, “Lattices of classes of groupoids with one-sided quasigroup conditions”, Algebra Discrete Math., 9:1 (2010), 31–40
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm19 https://www.mathnet.ru/rus/adm/v9/i1/p31
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