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並前往https://www.quora.com/What-is-the-difference-between-a-monoid-and-a-ring-and-between-a-commutative-monoid-and-a-commutative-ring

What is the difference between a monoid and a ring ... - Quora

Whereas a ring can be defined entirely in terms of the two operations of addition and multiplication, a monoid is defined in terms of one operation.

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