Geodesic
Embedding Right Chain Rings in Chain Rings
Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1079-1086

Voir la notice de l'article provenant de la source Cambridge University Press

The following problem was the starting point for this investigation: Can every desarguesian affine Hjelmslev plane be embedded into a desarguesian projective Hjelmslev plane [8]? An affine Hjelmslev plane is called desarguesian if it can be coordinatized by a right chain ring R with a maximal ideal J(R) consisting of two-sided zero divisors. A projective Hjemslev plane is called desarguesian if the coordinate ring is in addition a left chain ring, i.e. a chain ring. This leads to the algebraic version of the above problem, namely the embedding of right chain rings into suitable chain rings. We can prove the following result. 
Brungs, H. H.; Törner, G. Embedding Right Chain Rings in Chain Rings. Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1079-1086. doi: 10.4153/CJM-1978-090-0
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