Sally modules of rank one

Mathematics – Commutative Algebra

Scientific paper

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28 pages

Scientific paper

The structure 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 explored, where $\e_0(I)$ and $\e_1(I)$
denote the first two Hilbert coefficients of $I$.

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