engleski

LGS-quasigroups

The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given. The theorem about the characterization of LGS--quasigroup by means of a commutative group is proved. RGS--quasigroup is introduced and the connection with LGS--qusigroup is investigated.

LGS-quasigroup; RGS-quasigroup; commutative group

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