Abstract
An A-infinity bialgebra of type (m,n) is a Hopf algebra H equipped with a "compatible" operation ω: H^{\otimes m} \to H^{\otimes n} of positive degree. We determine the structure relations for A-infinity bialgebras of type (m,n) and construct a purely algebraic example for each m \geq 2 and m+n \geq 4.
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