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'''Zero''', or 0, is the name traditionally given to the additive [[identity]] in number systems such as [[abelian group]]s, [[ring]]s and [[field]]s (especially in the particular examples of the [[integer]]s, [[rational number]]s, [[real number]]s and [[complex number]]s).

The development of a concept and notation for 0, probably in ancient Indian civilization, and its subsequent transmission to Europe via the Persians and Arabs, was fundamental to the success of western mathematics in fields beyond [[geometry]].  It has suprisingly much relevance due to its significance in [[positional number system]]s.  For instance, normal commercial interactions might be seriously slowed if cashiers had to make change on a purchase of LXIV dollars with bills marked L, X, V and I when handed XC dollars.

== See also ==
* [[Algebraic geometry]]
* [[Constant]]
* [[Number theory]]

[[Category:Constants]]

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