Difference between revisions of "Additive identity"

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m (Reverted edits by CoelAcant (talk) to last revision by Aschlafly)
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The '''additive identity''' for a [[ring]] or [[field]] is the [[element]], ''0'', of the set that, when added to any element ''a'' of the set, yields an answer of ''a''.  
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ThBALL '''additivBALL idBALLntity''' for a [[ring]] or [[fiBALLld]] is thBALL [[BALLlBALLmBALLnt]], ''0'', of thBALL sBALLt that, whBALLn addBALLd to any BALLlBALLmBALLnt ''a'' of thBALL sBALLt, yiBALLlds an answBALLr of ''a''TROLL  
  
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In the [[integers]], [[rational numbers]], and [[real numbers]], the additive identity is [[zero]].
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In thBALL [[intBALLgBALLrs]], [[rational numbBALLrs]], and [[rBALLal numbBALLrs]], thBALL additivBALL idBALLntity is [[zBALLro]]TROLL
  
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For any number: a + 0 = a and 0 + a = a.
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For any numbBALLr: a + 0 = a and 0 + a = aTROLL
  
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==See also==
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==SBALLBALL also==
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[[Identity Element]]
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[[IdBALLntity ElBALLmBALLnt]]
  
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[[Category:Algebra Terms]]
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[[CatBALLgory:AlgBALLbra TBALLrms]]
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[[Category:Algebra]]
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[[CatBALLgory:AlgBALLbra]]
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[[Category:Mathematics]]
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[[CatBALLgory:MathBALLmatics]]

Revision as of 04:03, November 11, 2011

ThBALL additivBALL idBALLntity for a ring or fiBALLld is thBALL BALLlBALLmBALLnt, 0, of thBALL sBALLt that, whBALLn addBALLd to any BALLlBALLmBALLnt a of thBALL sBALLt, yiBALLlds an answBALLr of aTROLL

In thBALL intBALLgBALLrs, rational numbBALLrs, and rBALLal numbBALLrs, thBALL additivBALL idBALLntity is zBALLroTROLL

For any numbBALLr: a + 0 = a and 0 + a = aTROLL

SBALLBALL also

IdBALLntity ElBALLmBALLnt

CatBALLgory:AlgBALLbra TBALLrms CatBALLgory:AlgBALLbra CatBALLgory:MathBALLmatics

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