Quasi-socle Ideals and Goto Numbers of Parameters
نویسندگان
چکیده
Goto numbers g(Q) = max{q ∈ Z | Q : m is integral overQ} for certain parameter ideals Q in a Noetherian local ring (A,m) with Gorenstein associated graded ring G(m) = ⊕ n≥0 m /m are explored. As an application, the structure of quasisocle ideals I = Q : m (q ≥ 1) in a one-dimensional local complete intersection and the question of when the graded rings G(I) = ⊕ n≥0 I /I are Cohen-Macaulay are studied in the case where the ideals I are integral over Q.
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