Geodesic
A Condition for Artinian Rings to be Noetherian
Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 830-837

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper the word “Artinian (Noetherian) ring” means an associative ring with minimum (maximum) condition on left ideals. According to C. Hopkins, an Artinian ring is Noetherian if it contains a left or right identity [3, p. 728]. However we shall consider Artinian rings without the assumption of existence of such an identity, and the theorem of Hopkins will be reproved. 
Murase, Ichiro. A Condition for Artinian Rings to be Noetherian. Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 830-837. doi: 10.4153/CJM-1978-071-5
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