- #1
rourky
- 7
- 0
1. I am just looking for a defn, I can't find it on the net:
Given a ring R, a, b elements of R, (a?) gcd(a,b) is defined to be?
3. I am guessing that if d/a and d/b and for any other e such that e/a and e/b we have e/d, then d is (a?) gcd of a and b. Is this correct, and is d THE unique gcd? My guess is based mostly on the definition of a ("a", may not be unique) gcd(B), B any subset of R.
Given a ring R, a, b elements of R, (a?) gcd(a,b) is defined to be?
3. I am guessing that if d/a and d/b and for any other e such that e/a and e/b we have e/d, then d is (a?) gcd of a and b. Is this correct, and is d THE unique gcd? My guess is based mostly on the definition of a ("a", may not be unique) gcd(B), B any subset of R.