Hans-Joachim Baues, Mamuka Jibladze, Andy Tonks: Cohomology of monoids in monoidal categories
arXiv: Experimental full text search
CT (Category theory)
arXiv:1209.2847 Structure and classification of monoidal groupoids from arXiv Front: math.KT by María Calvo, Antonio M. Cegarra, Benjamín A. Heredia The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional Schreier-Grothendieck theory of non-abelian factor sets for their classification. In particular, we state and prove precise classification theorems for those monoidal groupoids whose isotropy groups are all abelian, as well as for their homomorphisms, by means of Leech’s cohomology groups of monoids.
nLab page on Cohomology of monoids