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linkage of modules

Proceedings of the Edinburgh Mathematical Society (1)

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Notes on linkage of modules
Part of
- Theory of modules and ideals
- Commutative algebra: Homological methods
Arash Sadeghi
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 4 / November 2019

Published online by Cambridge University Press:

13 June 2019, pp. 1045-1062
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Let R be a Cohen–Macaulay local ring. It is shown that under some mild conditions, the Cohen–Macaulay property is preserved under linkage. We also study the connection of the (Sn) locus of a horizontally linked module and the attached primes of certain local cohomology modules of its linked module.