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About: Free category     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatFreeAlgebraicStructures, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:YagoGeoEntityyago:YagoPermanentlyLocatedEntityyago:Structure104341686yago:Whole100003553yago:WikicatFreeAlgebraicStructures New Facet based on Instances of this Class

In mathematics, the free category or path category generated by a directed graph or quiver is the category that results from freely concatenating arrows together, whenever the target of one arrow is the source of the next. More precisely, the objects of the category are the vertices of the quiver, and the morphisms are paths between objects. Here, a path is defined as a finite sequence The composition operation is concatenation of paths. Given paths their composition is . Note that the result of the composition starts with the right operand of the composition, and ends with its left operand.