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In: Advanced Math

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

Find an example with an explanation of

Integral domain but not domain with factorization

Domain with factorization but not unique factorization domains

Domain with factorization but not Noetherian domains
  
Unique factorization domains but not Noetherian unique factorization domains
Noetherian Domains but not Noetherian Unique factorization domains

Noetherian Unique factorization domains but not principal ideal domain

principal ideal domain but not Euclidean domains

Euclidean domain but not field

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