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- Title
STACKS OF ANN-CATEGORIES AND THEIR MORPHISMS.
- Authors
ALDROVANDI, ETTORE
- Abstract
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.
- Subjects
MORPHISMS (Mathematics); CATEGORIES (Mathematics); GROUPOIDS; COMMUTATIVE algebra; ASSOCIATIVE algebras
- Publication
Theory & Applications of Categories, 2015, Vol 30, Issue 36-42, p1256
- ISSN
1201-561X
- Publication type
Article