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arxiv: 0704.2106 · v3 · submitted 2007-04-17 · 🧮 math.CT · math.QA

Associated Graded Algebras and Coalgebras

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keywords associatedbialgebragradedabelianalgebraalgebrasbialgebrasbraided
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We investigate the notion of associated graded coalgebra (algebra) of a bialgebra with respect to a subbialgebra (quotient bialgebra) and characterize those which are bialgebras of type one in the framework of abelian braided monoidal categories.

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