(a) No. The integers are not dense. And the rationals are dense.Originally Posted by suedenation
(b)No. Because is a commutative ring, while the quaternion numbers are not. Because for example, while
(c)Yes. I really do not see how order is important in a direct product between rings.
(e)No. The reals are ordered but the complex numbers cannot be ordered.
I am thinking about (d)