Assertion: division | /r/HasProperty | possible
Facets:
value: in the zero ring
type: LOCATION
Source sentences:
text: If a ring is finite and every nonzero element is cancellative, then by an application of the pigeonhole principle, every nonzero element of the ring is invertible, and division by any nonzero element is possible.
text: No further division is possible, so perform a long multiplication by 1,760 to convert miles to yards, the result is 22,880 yards.
text: In the hyperreal numbers and the surreal numbers, division by zero is still impossible, but division by non-zero infinitesimals is possible.
text: In the zero ring, division by zero is possible, which shows that the other field axioms are not sufficient to exclude division by zero in a field.