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Mathematics LibreTexts

1: Operations on Integers

 

Binary operation

 
Let \(S\) be a subset of \(\bf{Z}\), and \(*\) be a binary operation on S.

Example \(\PageIndex{1}\):

 

 

Definition :  Binary operation

 

Binary operation
 
Closure property
 
Associative property
 
Commutative property
 
Identity
 
Distributive property