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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {O. B. Finogenova},
     title = {Characterization of {Locally} {Noetherian} {Varieties} in {Terms} of {Idempotents}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {925--929},
     publisher = {mathdoc},
     volume = {97},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a9/}
}
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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/