On the two differences l(I*/R)-l(R/I) and rl(R/I)-l(I*/R)
Anna Oneto, Elsa Zatini
Abstract
Let R be a one-dimensional local Noetherian domain, which is supposed analytically irreducible and residually rational, and let I be a proper ideal of R. Our purpose is to study the two numbers l(I*/R)-l(R/I) and rl(R/I)-l(I*/R) (l denotes the length, r the Cohen-Macaulay type) already considered in the literature under various points of view. The basic idea is the expression of these invariants in terms of the type sequence.
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