Representation of a tetrad

L. A. Nazarova

Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1305-1321.

Résumé

A complete description is given herein of finitely generated torsionless modules over the ring $$ A=\{(a_1,a_2,a_3,a_4)\mid a_i\in A_i,i=1,\dots,4,\ a_1\varepsilon_1=a_2\varepsilon_2=a_3\varepsilon_3=a_4\varepsilon_4\}, $$ where $A_1$, $A_2$, $A_3$, $A_4$ are local Dedekind rings with the same residue field $k$, and $\varepsilon_i$ is the homomorphism of $A_i$ onto $k$.

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