Talk:Principal ideal ring

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a principal ideal ring is the same thing as a principal ideal domain. so this should be merged with principal ideal domain

No. A principal ideal ring is a ring in which every ideal is principal. A principal ideal domain, on the other hand, is an integral domain in which every ideal is principal. Not every ring is an integral domain (since not all rings are commutative, for a start!), so the two notions are distinct. Merging the two articles would, therefore, be inappropriate. Sullivan.t.j 23:38, 15 November 2006 (UTC)