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ring

A1 noun

Các nghĩa

  1. vành (có đơn vị)

    An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.

    The set of integers, #92;mathbb#123;Z#125;, is the prototypical ring.

  2. vành (không nhất thiết có đơn vị)

    An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.

    The definition of ring without unity allows, for instance, the set 2#92;mathbb#123;Z#125; of even integers to be a ring.

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