• anonymous
how do you find the chararacteristic of Z6 of a ring? specifically Z6?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • katieb
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
I assume you mean Z/6Z. Just consider the definition of characteristic. What is the least number of times you can add the identity of the ring, 1, to itself before you get zero? In this case, it is 6. In general the characteristic of Z/nZ is n. It can be a little trickier for rings which are products of Z/nZ's, like Z/2Z x Z/2Z. In this case, even though the ring has 4 elements, its characteristic is 2.

Looking for something else?

Not the answer you are looking for? Search for more explanations.