A note on medial quasigroups
نویسنده
چکیده
In this short note we prove two results about medial quasigroups. First, let φ and ψ be binary operations defined by multiplication, left and right division in a medial quasigroup. Then φ and ψ are mutually medial, i.e. φ(ψ(a, b), ψ(c, d)) = ψ(φ(a, c), φ(b, d)). Second, four points a, b, c, d in an idempotent medial quasigroup form a parallelogram if and only if d = (a / b)(b \ c).
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