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| Ultima descărcare din IBN: 2024-05-10 17:42 |
 SM ISO690:2012GRECU, Ion. On multiplication groups of isostrophic quasigroups. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 78-81. ISBN 978-9975-68-244-2. |
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| Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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| Pag. 78-81 | ||||||
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Relations between the multiplication groups of loops which are isostrophes of quasigroups are studied in the present work. We prove that, if (Q; ¢) is a quasigroup and its isostrophe (Q; ±), where x ± y = Ã(y) n '(x), 8x; y 2 Q, is a loop, then the right multiplication group of (Q; ±) is a subgroup of the left multiplication group of (Q; ¢). Moreover, if ' 2 Aut(Q; ±), then RM(Q; ±) is a normal subgroup of LM(Q; ¢). As a corollary from this result we get that the right multiplication group of a middle Bol loop coincides with the left multiplication group of the corresponding right Bol loop. |
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| Cuvinte-cheie Right (left, middle) Bol loop, (right, left) multiplication group, isostrophy |
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