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arxiv: 0909.4102 · v1 · submitted 2009-09-22 · 🧮 math.AC · math.KT

The depth formula for modules with reducible complexity

Petter Andreas Bergh , David Jorgensen This is my paper
classification 🧮 math.AC math.KT
keywords modulescomplexitydepthformulareduciblecasescertaincohen-macaulay
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We prove that the depth formula holds for $\Tor$-independent modules in certain cases over a Cohen-Macaulay local ring, provided one of the modules has reducible complexity.

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