subject
Mathematics, 05.05.2020 21:37 kleighlamb4901

12. Let D D be a UFD. An element d ∈ D d∈D is a greatest common divisor of a a and b b in D D if d ∣ a d∣a and d ∣ b d∣b and d d is divisible by any other element dividing both a a and b . b. If D D is a PID and a a and b b are both nonzero elements of D , D, prove there exists a unique greatest common divisor of a a and b b up to associates. That is, if d d and d ′ d′ are both greatest common divisors of a a and b , b, then d d and d ′ d′ are associates. We write gcd ( a , b ) gcd(a, b) for the greatest common divisor of a a and b .

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 20:00
Plot the intercepts to graph the equation
Answers: 1
question
Mathematics, 21.06.2019 20:30
Astore ordered 750 candles a total wholesale cost of $7910.20. the soy candles cosy $12.17 each and thespecialty candles cost $9.58each. how many of each were bought?
Answers: 1
question
Mathematics, 21.06.2019 20:30
What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie
Answers: 2
question
Mathematics, 21.06.2019 21:30
Mr. vector door is buying two new cowboy hats all together the hats cost $75.12 the second heart cost twice as much as the first hat what is the price of the more expensive at round to the nearest hundredth
Answers: 1
You know the right answer?
12. Let D D be a UFD. An element d ∈ D d∈D is a greatest common divisor of a a and b b in D D if d ∣...
Questions
question
Mathematics, 28.06.2019 11:00
question
English, 28.06.2019 11:00
question
Mathematics, 28.06.2019 11:00
Questions on the website: 13722360