Geodesic
Generalized classical quotient rings
Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 677-686.

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We find necessary and sufficient conditions for a generalized classical quotient ring to be a principal ideal ring, a local ring, or a completely primary ring. As corollaries, the corresponding results are obtained for classical quotient rings. 
@article{MZM_1972_11_6_a8,
     author = {V. P. Elizarov},
     title = {Generalized classical quotient rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {677--686},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a8/}
}
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V. P. Elizarov. Generalized classical quotient rings. Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 677-686. http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a8/