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| A '''graded category''' is a [[mathematics|mathematical]] concept.
| | 35 yr old Deer Farmer Merle Bedell from Port Hawkesbury, has pastimes which includes individuals watching, [http://swachhbharatabhiyan.net/groups/property-diy/ property sale singapore] developers in singapore and kids. In recent years has attended Península Valdés. |
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| If <math>\mathcal{A}</math> is a [[category theory|category]], then a
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| '''<math>\mathcal{A}</math>-graded category'''
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| is a category <math>\mathcal{C}</math> together with a [[functor]]
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| <math>F:\mathcal{C} \rightarrow \mathcal{A}</math>.
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| [[Monoid]]s and [[group (mathematics)|group]]s can be thought of as categories with a single [[element (mathematics)|element]]. A monoid-graded or group-graded category is therefore one in which to each [[morphism]] is attached an element of a given monoid (resp. group), its grade. This must be compatible with [[function composition|composition]], in the sense that compositions have the product grade.
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| == See also ==
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| * [[Differential graded category]]
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| * [[Graded (mathematics)]]
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| * [[Graded algebra]]
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| * [[Slice category]]
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| {{Unreferenced|date=February 2008}}
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| [[Category:Category theory]]
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| {{cattheory-stub}}
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Latest revision as of 09:38, 8 January 2015
35 yr old Deer Farmer Merle Bedell from Port Hawkesbury, has pastimes which includes individuals watching, property sale singapore developers in singapore and kids. In recent years has attended Península Valdés.