@misc{10481/60606,
year = {2020},
month = {1},
url = {http://hdl.handle.net/10481/60606},
abstract = {The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac
Lane cohomology of groups) to presheaves of monoids on an arbitrary small category. The main result
states and proves a cohomological classification of monoidal prestacks on a category with values in
groupoids with abelian isotropy groups. The paper also includes a cohomological classification for
extensions of presheaves of monoids, which is useful to the study of H-extensions of presheaves of
regular monoids. The results apply directly in several settings such as presheaves of monoids on
a topological space, simplicial monoids, presheaves of simplicial monoids on a topological space,
monoids or simplicial monoids on which a fixed monoid or group acts, and so forth.},
publisher = {MDPI},
keywords = {Cohomology},
keywords = {Presheaf of monoids},
keywords = {Monoidal prestack},
keywords = {Simplicial set},
keywords = {Homotopy colimit},
title = {Cohomology of Presheaves of Monoids},
doi = {10.3390/math8010116},
author = {Carrasco Carrasco, María Del Pilar and Martínez Cegarra, Antonio},
}