Abstract: | We introduce triples of associative algebras as a tool for building solutions to the Yang-Baxter equation. It turns out that the class of R-matrices thus obtained is related to a Hecke-like condition, which is formulated in the framework of associative algebras with non-degenerate symmetric cyclic inner product. R-matrices for a subclass of theA n-type Belavin-Drinfel’d triples are derived in this way. |