A new depth and the annihilation of local cohomology modules |
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Authors: | Zhongming Tang |
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Institution: | (1) Department of Mathematics, Suzhou University, Suzhou, 215006, P.R. China |
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Abstract: | Let J
I be two proper ideals of a commutative Noetherian ring and M a finitely generated module. Strong relative depth is defined and characterized. It is proved that this depth is just the
maximum integer n such that can be annihilated by some power of J for all i ≤ n. It turns out that the local-global principle for the annihilation of local cohomology modules can be formulated as a natural
property of this new depth.
Received: 28 July 2006 |
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Keywords: | 13C15 13D45 14B15 |
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