Embedding noetherian rings in artinian rings

A criterion is presented which is easy to check in specific examples and pr ovides information as to when a given noetherian ring is not embeddable in an artinian one. On the other hand, we provide sufficient conditions for ar tinian embeddability of several types of noetherian rings that have no nont rivial right ideals of reduced rank zero. (C) 2001 Elsevier Science