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<creators>
<creator>
<creatorName>Elzayat, E.A.</creatorName>
<affiliation>Khulais, King Ab dulaziz University, Arabia Saudită</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Construction of subdirectly irreducible SQS-skeins of cardinality n2m</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2012</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<subjects>
<subject>Steiner triple system</subject>
<subject>Steiner loop</subject>
<subject>sloop</subject>
<subject>subdirectly irreducible sloop</subject>
</subjects>
<dates>
<date dateType='Issued'>2012-07-02</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>We give a construction for subdirectly irreducible SQS-skeins of cardinality n2m having a monolith with a congruence class of cardinality 2m for each integer m > 2. Moreover, the homomorphic image of the constructed SQS-skein modulo its atom is isomorphic to the initial SQS-skein. Consequently, we will construct an SK(n2m) with a derived SL(n2m) such that SK(n2m) and SL(n2m) are subdirectly irreducible and have the same congruence lattice.
Also, we may construct an SK(n2m) with a derived SL(n2m) in which the congruence lattice of SK(n2m) is a proper sublattice of the congruence lattice of SK(n2m).</description>
</descriptions>
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<format>application/pdf</format>
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