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In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second.  Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]].
 
In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second.  Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]].
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==References==
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{{reflist}}
    
==See also==
 
==See also==
 
*[[operation system kernel]]
 
*[[operation system kernel]]
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==References==
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{{reflist}}
      
[[Category:Geometry]]
 
[[Category:Geometry]]
 
[[Category:Algebra]]
 
[[Category:Algebra]]
 
[[Category:Computer Science]]
 
[[Category:Computer Science]]
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