The problem involves identifying zero divisors in the ring Z17, where 17 is a prime number. Participants are exploring the properties of this mathematical structure and questioning the existence of zero divisors.
There is ongoing exploration of the definitions and properties of zero divisors in the context of Z17. Some participants are seeking clarification on the relationship between the prime nature of 17 and the existence of zero divisors, while others are attempting to articulate their understanding through specific examples.
Participants are operating under the assumption that they are working within the confines of modular arithmetic and the properties of prime numbers. There is a focus on definitions and the implications of those definitions in the context of the problem.
sarah77 said:Both a and b have to be in Z17, so if a*b does not give 0 in Z17, it is not a zero divider, right?
sarah77 said:Yes, but I wanted to explain it using a and b