Talk:Element of Integral Domain Divides Zero

zero divisor
An integral domain has no proper zero divisors by definition. It seems that a divisor of zero and a zero divisor are different. --Fake Proof (T C) 10:50, 9 April 2023 (UTC)


 * Yes that is true. A zero divisor, a.k.a. a divisor of zero is an element defined as such on that page.


 * On the other hand, in the context of general divisibility, every element can be said to trivially "divide" zero, because zero is a multiple of every number -- zero is the factor to multiply it by.


 * Hence the way to think about it is to consider the term zero divisor as a specialised piece of jargon that means what it is defined to mean, and does not mean a factor of zero which gets you zero by multiplying it by zero. --prime mover (talk) 07:22, 19 April 2023 (UTC)


 * See Definition:Zero Divisor/Warning --prime mover (talk) 09:33, 19 April 2023 (UTC)