ufd

  1. H

    Interesting question about Abstract Algebra. UFD's and Prime Ideals?

    Let A be an ID (int. domain). Show if A is a UFD (unique fact. dom) then every prime ideal (not zero) in A contains a principal ideal (not zero) that is prime.
  2. H

    Interesting question (ABSTRACT ALGEBRA) about UFD's and co-primes.?

    Show if A is a UFD (unique fact. dom) and a,b in A are co-prime and a|bx, then a|x.
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