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Find an example with an explanation of Integral domain but not domain with factorization Domain with factorization...

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Advance Math

Find an example with an explanation of

Integral domain but not domain with factorization

Domain with factorization but not unique factorizationdomains

Domain with factorization but not Noetherian domains
  
Unique factorization domains but not Noetherian uniquefactorization domains
Noetherian Domains but not Noetherian Unique factorizationdomains

Noetherian Unique factorization domains but not principalideal domain

principal ideal domain but not Euclidean domains

Euclidean domain but not field

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