Geodesic
Stacks of Ann-Categories and their morphisms
Theory and applications of categories, Tome 30 (2015), pp. 1256-1286

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We show that ann-categories admit a presentation by crossed bimodules, and prove that morphisms between them can be expressed by special kinds spans between the presentations. More precisely, we prove the groupoid of morphisms between two ann-categories is equivalent to that of bimodule butterflies between the presentations. A bimodule butterfly is a specialization of a butterfly, i.e. a special kind of span or fraction, between the underlying complexes

Publié le :
Classification : 18D10, 13D03, 18G55, 55P43, 14A20
Keywords: Categorical ring, ann category, ring-like stack, crossed bimodule, butterfly, Shukla, Barr, André-Quillen cohomology 
@article{TAC_2015_30_a38,
     author = {Ettore Aldrovandi},
     title = {Stacks of {Ann-Categories} and their morphisms},
     journal = {Theory and applications of categories},
     pages = {1256--1286},
     publisher = {mathdoc},
     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a38/}
}
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Ettore Aldrovandi. Stacks of Ann-Categories and their morphisms. Theory and applications of categories, Tome 30 (2015), pp. 1256-1286. http://geodesic.mathdoc.fr/item/TAC_2015_30_a38/