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SM ISO690:2012 DIDURIK, Natalia. Some properties of Neumann quasigroups. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 93-94. ISBN 978-9975-76-247-2. |
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Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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Pag. 93-94 | ||||||
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Main concepts and de nitions can be found in [1, 4, 6]. De nition 1. Quasigroup (Q; ) is unipotent if and only if x x = a for all x 2 Q and some xed element a 2 Q. De nition 2. Quasigroup (Q; ) has right unit element (a right unit) if there exists element e (unique) such that x e = x for all x 2 Q. De nition 3. A quasigroup (Q; ) is said to be Neumann quasigroup if in this quasigroup the identity x (yz yx) = z (1) holds true [3, 5, 2], [7, p. 248]. In the articles [3, 7, 2] the following result is pointed out. |
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