Ring


Consider set where addition and multiplication are defined, satisfying the following conditions:
  1. Commutative group with respect to addition
  2. Associative with respect to multiplication
  3. Multiplication is distributive over addition
  4. Existence of the unit element for multiplication

Commutative ring


:Additive group
:Endomorphism set
Considering ,
If the sum is defined as and the product is defined as , then is a ring.

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