Mr Maths

A function f:A-->B is one-one if for x,y€A

a) x=y implies f(x)=f(y)
b) x implies f(x) (y)
c) f(x) (y) implies x
d) f(x)=f(y) implies x=y

Here the symbol # means not equal

Z(X) is

a) Unique factorization domain
b) Euclidean domain
c) Principal ideal domain
d) Noetherian domain

True or False

There is an integral domain of order 10.

True or False

Let R be a commutative ring. R has the cancellation property under multiplication if and only if R has no zero divisors.