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Quasigroup

Algebraic structures between magmas and groups: A quasigroup is a magma with the type of divisibility given by the Latin square property. A loop is a quasigroup with an identity element.

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible. Quasigroups differ from groups mainly in that the associative and identity element properties are optional. In fact, a nonempty associative quasigroup is a group.[1][2]

A quasigroup that has an identity element is called a loop.


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شبه زمرة Arabic Quasigrup Catalan Kvazigrupa Czech Quasigruppe German Kvazaŭgrupo EO Cuasigrupo Spanish شبه گروه FA Kvasiryhmä Finnish Quasigroupe French קוואזי-חבורה HE

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