SQS – 3 – Groupoids with q ( x , x , y ) = x Magdi
نویسندگان
چکیده
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) = y 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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تاریخ انتشار 2004