Polygraphic resolutions and homology of monoids

Yves Lafont (1) , François Métayer (2)

1 IML - Institut de mathématiques de Luminy
2 PPS - Preuves, Programmes et Systèmes

We prove that, for any monoid M, the homology defined by the second author by means of polygraphic resolutions coincides with the homology classically defined by means of resolutions by free ZM-modules.

Mots clés: n-category; polygraph; resolution; monoid; homology

Domaines: Catégories et ensembles [math.CT]

Yves Lafont, François Métayer. Polygraphic resolutions and homology of monoids. Journal of Pure and Applied Algebra, 2009, 213, pp.947-968. ⟨10.1016/j.jpaa.2008.10.005⟩. ⟨hal-00148370v2⟩