Define d to be the set of all pairs (x,y) of natural numbers such that x...

90.2K

Verified Solution

Question

Advance Math

Define d to be the set of all pairs (x,y) of natural numberssuch that x divides y. Show that N is partially ordered by d.Define d analogously on Z. Is then d also a partial order on Z?

Answer & Explanation Solved by verified expert
4.2 Ratings (576 Votes)
GivenSo is a relation over the set of all natural numbers We have to show that is partially ordered by that is is a partial order relation on the set 1    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students