User:Sakshisingh80/Sandbox

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DEFINITION OF FIELD
Let R be any non empty set. + and. are any two binary operation on the set R. (R,+,.) is said to be a field if following condition are satisfied ; i) (R,+) is an abelian group. ii) (R,.) is an abelian group. iii) Distributive law-    a(b+c)= ab+ca     (a+b)c= ac+bc for all a,b belongs to R