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A '''ring''' in mathematics is a set of numbers closed under addition and multiplication where addition is [[commutative]], both operations are [[associative]], multiplication [[Distributive property|distributes]] over addition, there is an additive identity and additive inverses.
==Other defintions==
Depending on the specific context, some elements of this definition may be somewhat different. For example, some authors include in the defintion that there exists a multiplicative identity.
==Other defintions==
Depending on the specific context, some elements of this definition may be somewhat different. For example, some authors include in the defintion that there exists a multiplicative identity.