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Hopf Algebras of Combinatorial Structures

Published online by Cambridge University Press:  20 November 2018

William R. Schmitt
William R. Schmitt*
Affiliation:
Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee 38152, U.S.A.
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Abstract

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A generalization of the definition of combinatorial species is given by considering functors whose domains are categories of finite sets, with various classes of relations as moronisms. Two cases in particular correspond to species for which one has notions of restriction and quotient of structures. Coalgebras and/or Hopf algebras can be associated to such species, the duals of which provide an algebraic framework for studying invariants of structures.

Keywords

16A2405A9918B99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 2 , 01 April 1993 , pp. 412 - 428
Copyright
Copyright © Canadian Mathematical Society 1993

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