Abstract.We construct various examples of Noetherian rings with peculiar ideal structure. For example, there exists a Noetherian domain R with a minimal, nonzero ideal /, such that R/I is a commutative polynomial ring in « variables, and a Noetherian domain S with a (second layer) clique that is not locally finite. The key step in the construction of these rings is to idealize at a right ideal I in a Noetherian domain T such that T/I is not Artinian.
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