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Article Dans Une Revue Séminaires et congrès Année : 2013

Identities among relations for higher-dimensional rewriting systems

Résumé

We generalize the notion of identities among relations, well known for presentations of groups, to presentations of n-categories by polygraphs. To each polygraph, we associate a track n-category, generalizing the notion of crossed module for groups, in order to define the natural system of identities among relations. We relate the facts that this natural system is finitely generated and that the polygraph has finite derivation type.
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Dates et versions

hal-00426228 , version 1 (23-10-2009)
hal-00426228 , version 2 (07-04-2010)

Identifiants

  • HAL Id : hal-00426228 , version 2

Citer

Yves Guiraud, Philippe Malbos. Identities among relations for higher-dimensional rewriting systems. Séminaires et congrès, 2013, 26, pp.145-161. ⟨hal-00426228v2⟩
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