Ring Theory: We define PIDs and UFDs and describe their relationship. Prime and irreducible elements are defined, and conditions for implication are given.
(second version: corrections to definition of prime and irreducible; comment should be 'R UFD implies R[x] UFD, improved proof that, in UFD, irreducible implies prime).
Tagged under: mathematics,ring,theory,abstract,algebra,Ring (mathematics),integral,domain,principal,ideal,unique,factorization,prime,irreducible,unit,Gaussian,integer,polynomial,field,degree,PID,UFD
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