| Autor: |
Rahimi-Molaei, Z., Payrovi, Sh., Babaei, S. |
| Předmět: |
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| Zdroj: |
International Electronic Journal of Algebra; 2019, Vol. 25, p55-63, 9p |
| Abstrakt: |
This paper is concerned to relationship between the sets of associated primes of the d-local cohomology modules and the ordinary local cohomology modules. Let R be a commutative Noetherian local ring, M an R-module and d,t two integers. We prove that Ass(Htd (M)) = S I∈Φ Ass(HtI (M)) whenever Hid (M) = 0 for all i < t and Φ = {I : I is an ideal of R with dim R/I ≤ d}. We give some information about the non-vanishing of the d-local cohomology modules. To be more precise, we prove that Hid (R) 6= 0 if and only if i = n - d whenever R is a Gorenstein ring of dimension n. This result leads to an example which shows that Ass(Hn-dd (R)) is not necessarily a finite set. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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