Geodesic
Krull dimension of the module category over right noetherian serial rings
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 73-86 
A. I. Generalov. Krull dimension of the module category over right noetherian serial rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 73-86. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a7/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

For a right noetherian serial ring $R$ which is not artinian, it is proved that the Krull dimension of the category of finitely generated right $R$-modules equals one.

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