Cohomology of monoids

General Introduction
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Search results
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Online References
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Paper References
HansJoachim Baues, Mamuka Jibladze, Andy Tonks: Cohomology of monoids in monoidal categories
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
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 3dimensional SchreierGrothendieck theory of nonabelian 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.
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Other Information
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