The discussion revolves around calculating the characteristic of the Cartesian product of rings, specifically focusing on the characteristics of two rings involved in the problem.
Some participants have provided insights regarding the characteristics of the rings, with one suggesting that the first ring has zero characteristic and another confirming the characteristic of the second ring as 12. However, there is no explicit consensus on the overall conclusion.
Participants are working with specific characteristics of rings and their properties, but the exact details of the rings and any additional constraints are not fully outlined in the discussion.
stripes said:Homework Statement
See attached image
Homework Equations
The Attempt at a Solution
For the first half of the question, ordered pairs would be (1, [1]), since 1 and [1] are the multiplicative identities in these rings. but no matter how many times we add (1, [1]) to itself, we'll never get (1, [1]) again. does this mean this ring has zero characteristic?
stripes said:
