Abstract
ABSTRACT Let be a Hopf brace. We first show that the category of left compatible modules over is a tensor category. Next, we show that its Drinfeld centre is equivalent to the category of left Yetter–Drinfeld modules over as a braided tensor category. Finally, we show that Radford's biproduct and constitute a Hopf brace, where R is a Hopf algebra in . This presents some new method to construct Hopf braces.
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