ON MULTIPLICATION GROUPS OF ISOSTROPHIC QUASIGROUPS.
| dc.contributor.author | Grecu, Ion | |
| dc.date.accessioned | 2017-09-26T09:08:59Z | |
| dc.date.available | 2017-09-26T09:08:59Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | 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 multiplica- tion 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. | en |
| dc.identifier.citation | GRECU, I. On multiplication groups of isostrophic quasigroups. In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.78-81. ISBN 978-9975-68-244-2 | en |
| dc.identifier.isbn | 978-9975-68-244-2 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/1292 | |
| dc.language.iso | en | en |
| dc.publisher | Valines SRL | en |
| dc.subject | Right (left, middle) Bol loop | en |
| dc.subject | isostrophy | en |
| dc.subject | (right, left) multiplication group. | en |
| dc.title | ON MULTIPLICATION GROUPS OF ISOSTROPHIC QUASIGROUPS. | en |
| dc.type | Article | en |