Solutions to the Set - Theoretical Yang Baxter Equation Derived from Relations
نویسنده
چکیده
Given a binary relation R on the setX, we define S : X×X → X×X by setting S((u, v)) to be (u, v) if uRv, and (v, u) otherwise. This construction represent a way to associate a function to an arbitrary relation. We give simple conditions that completely characterize the relations R for which S satisfies the set-theoretical Yang-Baxter equation. 2000 Mathematics Subject Classification: 16T25, 05C25; 00-01, 00A05, 00A35.
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