Show that zero is the identity for addition on R and 1 is the identity for multiplication on R. But there is no identity element for the operations
– : R × R → R and ÷ : R∗ × R∗ → R∗
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identity 4 addition is 0 bcoz
a+0=a=0+a
&
identity 4 multiply is 1 bcoz
a.1=a=1.a
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