الفهرس 
Steiner Sloops and Steiner SkeinsOnly 14 pages are availabe for public view
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Abstract
This thesis deals with certain topics of algebras, namely the Steiner loops (sloops) and Steiner skeins (SQS-skein). Indeed, sloops and SQS-skeins are algebraic aspects of the combinatorial structures Steiner triple systems and Steiner quadruple systems. In the first chapter, we study the subdirectly irreducible sloops and SQS-skeins. We show that the Boolean sloops and (Boolean SQS-skeins) are generated by the 2-element sloop and the 2-element SQS-skein, respectively. The last chapter concerns with determining all possible classes of subdirectly irreducible SQS-skeins of cardinality 20. We determined 7 classes of subdirectly irreducible SQS-skeins of cardinality 20. Also, we have shown that the constructed SQS-skein of each class has a derived sloop belonging to a similar class. Finally, in the last section of chapter three we give an example of a subdirectly irreducible SQS-skein having a derived subdirectly irreducible sloop for each class.