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• W2150164226 abstract "Let R be a commutative noetherian local ring with residue field k and assume that it is not Gorenstein. In the minimal injective resolution of R, the injective envelope E of the residue field appears as a summand in every degree starting from the depth of R. The number of copies of E in degree i equals the k-vector space dimension of the cohomology module ExtiR(k, R). These dimensions, known as Bass numbers, form an infinite sequence of invariants of R about which little is known. We prove that it is non-decreasing and grows exponentially if R is Golod, a non-trivial fiber product, or Teter, or if it has radical cube zero." @default.
• W2150164226 created "2016-06-24" @default.
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• W2150164226 date "2009-11-25" @default.
• W2150164226 modified "2023-10-12" @default.
• W2150164226 title "Growth in the minimal injective resolution of a local ring" @default.
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• W2150164226 doi "https://doi.org/10.1112/jlms/jdp058" @default.
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