This article is cited in 11 papers

Representation of a tetrad

L. A. Nazarova


Abstract: 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 $k$.

UDC: 519.49

MSC: 16Gxx, 13F05, 16D10

Received: 01.03.1967

 English version: Mathematics of the USSR-Izvestiya, 1967, 1:6, 1305–1321

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