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      Sally modules of rank one

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          Abstract

          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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          Journal
          25 August 2007
          Article
          0708.3426
          bf07581a-f465-4705-8c21-a341812a4224
          History
          Custom metadata
          13H10; 13B22; 13H15
          28 pages
          math.AC

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