Geodesic
Characterization of Locally Noetherian Varieties in Terms of Idempotents
Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 925-929

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It is proved that a variety of associative rings is left and right locally Noetherian if and only if every finitely generated ring in the variety contains only finitely many idempotents.
Keywords: variety of associative rings, left (right) locally Noetherian ring, idempotent. 
O. B. Finogenova. Characterization of Locally Noetherian Varieties in Terms of Idempotents. Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 925-929. http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a9/
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