Quasilength, Latent Regular Sequences, and Content of Local Cohomology
نویسنده
چکیده
We use the notion of quasilength to introduce a nonnegative real number hx(M) that is intended heuristically as a “measure” of the local cohomology module H I (M). It is defined as a limit or lim inf of normalized quasilengths: see §2. When x is understood from context we shall also refer to this real number as the h-content of M . The positivity of hx(R) gives a necessary condition for there to exist a map of R to a Noetherian ring such that the xi map to generators of an ideal of height d.
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