iven a non- empty set S which is closed under a binary operation * and if there exists an element e € S such that a*e = e*a = a for all a € S, then e is called the IDENTITY or NEUTRAL element. The element is unique.
![BINARY OPERATIONS: IDENTITY AND INVERSE ELEMENTS 1 Further Maths](http://acadlly.b-cdn.net/wp-content/uploads/2022/07/Further-Maths.jpg)
iven a non- empty set S which is closed under a binary operation * and if there exists an element e € S such that a*e = e*a = a for all a € S, then e is called the IDENTITY or NEUTRAL element. The element is unique.
BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPEATIONS CONTENT Concept of binary operations, Closure property Commutative property Associative property and Distributive property. Definition Binary operation is any rule of combination of any two elements of a given non empty set. The rule of combination of two elements of a set may give rise to another element […]
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