ABSTRACT
It is shown that a Yang–Baxter system can be constructed from any entwining structure. It is also shown that,conversely,Yang–Baxter systems of certain types lead to entwining structures. Examples of Yang–Baxter systems associated to entwining structures are given,and a Yang–Baxter operator of Hecke type is defined for any bijective entwining map.
ACKNOWLEDGMENTS
Tomasz Brzeziński would like to thank the Engineering and Physical Sciences Research Council for an Advanced Fellowship. Florin F. Nichita is thankful for a Marie Curie Fellowship HPMF-CT-2002-01782.
Notes
Communicated by R. Wisbauer.