Category: 10. Operator & Postulates

There are many properties of the binary operations which are as follows: 1. Closure Property: Consider a non-empty set A and a binary operation * on A. Then is closed under the operation *, if a * b ∈ A, where a and b are elements of A. Example1: The operation of addition on the set of…

Consider a non-empty set A and α function f: AxA→A is called a binary operation on A. If * is a binary operation on A, then it may be written as a*b. A binary operation can be denoted by any of the symbols +,-,*,⨁,△,⊡,∨,∧ etc.The value of the binary operation is denoted by placing the…