Name: Math 344, Quize#1.
Q1: Let R be a ring without zero divisor and with identity. Then prove that:-
If aЄR, a²=1 then either a= 1R or a= -1R
Q2: If R be a ring with identity and S is a subring of R with identity such that 1S ≠ 1R
then prove that 1S is a zero divisor in R.