On the Structure of Hopf Algebras

1965/03/01 by John Milnor, John C. Moore · 21 citations
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Carbohydrate Chemistry and Synthesis

paper · doi:10.2307/1970615

openalex publication_date 1965/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/12

Abstract

In this paper we present the construction of a group Hopf algebra on the class of rational tangles.A locally finite partial order on this class is introduced and a topology is generated.An interval coalgebra structure associated with the locally finite partial order is specified.Irrational and real tangles are introduced and their relation with rational tangles are studied.The existence of the maximal real tangle is described in detail.

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