Fields, Rings, Groups, and Monoids

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5 Terms

1
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Field

closure addition and multiplication

2
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Ring

3
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Commutative ring

a specific type of ring where multiplication is commutative for all elements

4
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Group axiom:

Closure

Associativity (parenthesis ordering doesn’t matter

Identity

Inverse

5
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Monoid:

Closure

Associativity

Identity