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# Mathematical Research Letters

## Volume 15 (2008)

### Number 5

### The structure of Sally modules of rank one

Pages: 881 – 892

DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n5.a5

#### Authors

#### Abstract

A complete structure theorem of Sally modules of $\fkm$-primary ideals $I$ in a Cohen-Macaulay local ring $(A, \m)$ satisfying the equality $\e_1(I)=\e_0(I)-\ell_A(A/I)+1$ is given, where $\e_0(I)$ and $\e_1(I)$ denote the first two Hilbert coefficients of $I$.

Published 1 January 2008