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 SM ISO690:2012ARMANIOUS, Magdi. SQS–3–Groupoids with q(x, x, y) = x
. In: Quasigroups and Related Systems, 2004, nr. 1(11), pp. 1-8. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Quasigroups and Related Systems | ||||||
| Numărul 1(11) / 2004 / ISSN 1561-2848 | ||||||
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| Pag. 1-8 | ||||||
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A new algebraic structure (P ; q) of a Steiner quadruple systems SQS (P ; B) called an
SQS-3-groupoid with q(x, x, y) = x (briefly: an SQS-3-quasigroup) is defined and some
of its properties are described. Sloops are considered as derived algebras of SQS-skeins.
Squags and also commutative loops of exponent 3 with x(xy)2 = y 2 given in [7] are
derived algebras of SQS-3-groupoids. The role of SQS-3-groupoids in the clarification of
the connections between squags and commutative loops of exponent 3 is described.
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