Geodesic
Finite principal ideal rings
Sbornik. Mathematics, Tome 20 (1973) no. 3, pp. 364-382

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Every such ring is a direct sum of matrix rings over finite completely primary principal ideal rings. These latter rings are called Galois–Eisenstein–Ore rings or GEO-rings. A number of defining properties for GEO-rings are given, from which it follows that a finite ring with identity in which every two-sided ideal is left principal is a principal ideal ring. A theorem on the existence of a distinguished basis in a fintie bimodule over a Galois ring is proved, generalizing a similar theorem of Raghavendran. Finally, a GEO-ring is described as the quotient ring of an Ore polynomial ring over a Galois ring by an ideal of a special form, generated by Eisenstein polynomials. Bibliography: 10 titles. 
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     author = {A. A. Nechaev},
     title = {Finite principal ideal rings},
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A. A. Nechaev. Finite principal ideal rings. Sbornik. Mathematics, Tome 20 (1973) no. 3, pp. 364-382. http://geodesic.mathdoc.fr/item/SM_1973_20_3_a3/