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Partial Groupoid Embeddings in Semigroups

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Associahedra, Tamari Lattices and Related Structures

Part of the book series: Progress in Mathematics ((PM,volume 299))

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Abstract

We examine a number of axiom systems guaranteeing the embedding of a partial groupoid into a semigroup. These include the Tamari symmetric partial groupoid and the Gensemer/Weinert equidivisible partial groupoid, provided they satisfy an additional axiom, weak associativity. Both structures share the one mountain property. More embedding results for partial groupoids into other types of algebraic structures are presented as well.

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Author information

Authors and Affiliations

  1. Department of Economics, Maxwell School of Citizenship and Public Affairs, Syracuse University, Syracuse, NY, 13244-1020, USA

    Susan H. Gensemer

Authors
  1. Susan H. Gensemer
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Correspondence to Susan H. Gensemer .

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Editors and Affiliations

  1. for Dynamics and Self-Organization, Max-Planck-Institute, Bunsenstrasse 10, Göttingen, 37073, Germany

    Folkert MĂĽller-Hoissen

  2. , Département d'Informatique, LE2I, Université de Bourgogne, B.P. 47870, Dijon Cedex, 21078, France

    Jean Marcel Pallo

  3. , Department of Mathematics, University of North Carolina at Chapel H, CB #3250, Phillips Hall, Chapel Hill, 27599, North Carolina, USA

    Jim Stasheff

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Gensemer, S.H. (2012). Partial Groupoid Embeddings in Semigroups. In: Müller-Hoissen, F., Pallo, J., Stasheff, J. (eds) Associahedra, Tamari Lattices and Related Structures. Progress in Mathematics, vol 299. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0405-9_5

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