Associated Graded Algebras and Coalgebras
A. Ardizzoni, C. Menini
TL;DR
This paper explores the structure of associated graded coalgebras and algebras within bialgebras, providing characterizations of those that are of type one in braided monoidal categories.
Contribution
It introduces a framework for understanding associated graded structures of bialgebras and characterizes type one bialgebras in braided monoidal categories.
Findings
Characterization of associated graded coalgebras and algebras.
Criteria for bialgebras of type one.
Framework applicable in abelian braided monoidal categories.
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons