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dc.contributor.authorCarrasco Carrasco, María Del Pilar 
dc.contributor.authorMartínez Cegarra, Antonio 
dc.date.accessioned2020-03-25T08:41:47Z
dc.date.available2020-03-25T08:41:47Z
dc.date.issued2020-01-12
dc.identifier.citationCarrasco, P.; Cegarra, A.M. Cohomology of Presheaves of Monoids. Mathematics 2020, 8, 116. [doi:10.3390/math8010116]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/60606
dc.descriptionThis research received external funding from FQM-379: Algebra y Teoría de la Informaciónes_ES
dc.description.abstractThe 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.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectCohomologyes_ES
dc.subjectPresheaf of monoidses_ES
dc.subjectMonoidal prestackes_ES
dc.subjectSimplicial setes_ES
dc.subjectHomotopy colimites_ES
dc.titleCohomology of Presheaves of Monoidses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.3390/math8010116


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