Answer to Question #12543 in Abstract Algebra for Hym@n B@ss

Question #12543

Prove that next ring is not factorial: R=Z[sqrt(10)]

Expert's answer

Element 6=2*3=-(4+sqrt(10))(4-sqrt(10)).
We have found element with non-unique decomposition, so it is not factorial.

Learn more about our help with Assignments: Abstract Algebra

No comments. Be the first!

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…