GR0568 Probelm 40
Posted: Mon Oct 13, 2008 7:26 pm
for which of the following rings is it possible for the product of two non-zero elements to be zero?
a. ring of complex numbers
b. ring of integers modulo 11
c. ring of continuous real-valued functions on [0,1]
d. ring {a+b(2^1/2): a, b are rational numbers}
e. ring of polynomials in x with real coefficients
answer is c.
could someone explain please?
Thanks a lot.
a. ring of complex numbers
b. ring of integers modulo 11
c. ring of continuous real-valued functions on [0,1]
d. ring {a+b(2^1/2): a, b are rational numbers}
e. ring of polynomials in x with real coefficients
answer is c.
could someone explain please?
Thanks a lot.