course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Groups, Rings and Modules |
IB |
35 |
|
Paper 2, Section II, F |
2015 |
(a) Consider the homomorphism
Describe the image of this homomorphism as an abstract abelian group. Describe the quotient of
(b) Give the definition of a Euclidean domain.
Fix a prime
where 'gcd' stands for the greatest common divisor. Show that