Mathematical Research Letters

Volume 15 (2008)

Number 5

The structure of Sally modules of rank one

Pages: 881 – 892



Shiro Goto (Meiji University)

Koji Nishida (Chiba University)

Kazuho Ozeki (Meiji University)


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 $I$.

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