Opposite ring

In algebra, the opposite of a ring is another ring with the same elements and addition operation, but with the multiplication performed in the reverse order.

More precisely, the opposite of a ring (R, +, ·) is the ring (R, +, ∗) whose multiplication ∗ is defined by a ∗ b = b · a. Ring addition is per definition commutative.

单词	Opposite algebra
释义	Opposite algebra 英语百科 Opposite ring In algebra, the opposite of a ring is another ring with the same elements and addition operation, but with the multiplication performed in the reverse order. More precisely, the opposite of a ring (R, +, ·) is the ring (R, +, ∗) whose multiplication ∗ is defined by a ∗ b = b · a. Ring addition is per definition commutative.
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Opposite algebra

Opposite ring