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Let R R be a commutative Noetherian ring, I I an ideal of R R and M M a finitely generated R -module with dim R (M) = d. Denote by depth R(I,M) R (I, M) the depth of M M in I I. In [C. Huneke and V.

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Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail ...