“cancellation laws”的概念、定义、习题解题方法及翻译-数学辞典

单词

cancellation laws

释义

cancellation laws

Let ∘ be a binary operation on a set S. The cancellation laws are said to hold if, for all a, b, and c in S,

(i) if a ∘ b = a ∘ c, then b = c,

(ii) if b ∘ a = c ∘ a, then b = c.

It can be shown, for example, that in a group the cancellation laws hold.

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