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<creators>
<creator>
<creatorName>Armanious, M.H.</creatorName>
</creator>
</creators>
<titles>
<title xml:lang='en'>SQS–3–Groupoids with q(x, x, y) = x
</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2004</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<dates>
<date dateType='Issued'>2004-01-05</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>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.
</description>
</descriptions>
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<format>application/pdf</format>
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