On the non-vanishing of local cohomology modules
Czechoslovak Mathematical Journal (1997)
- Volume: 47, Issue: 4, page 585-592
- ISSN: 0011-4642
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topYassemi, Siamak. "On the non-vanishing of local cohomology modules." Czechoslovak Mathematical Journal 47.4 (1997): 585-592. <http://eudml.org/doc/30385>.
@article{Yassemi1997,
abstract = {It is shown that for any Artinian modules $M$, $\dim M^\{\vee \}$ is the greatest integer $i$ such that $\{\mbox\{H\}\}^i_\{\mathfrak \{m\}\}(M^\{\vee \})\ne 0$.},
author = {Yassemi, Siamak},
journal = {Czechoslovak Mathematical Journal},
keywords = {Artinian module; local cohomology; magnitude; Matlis dual},
language = {eng},
number = {4},
pages = {585-592},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the non-vanishing of local cohomology modules},
url = {http://eudml.org/doc/30385},
volume = {47},
year = {1997},
}
TY - JOUR
AU - Yassemi, Siamak
TI - On the non-vanishing of local cohomology modules
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 4
SP - 585
EP - 592
AB - It is shown that for any Artinian modules $M$, $\dim M^{\vee }$ is the greatest integer $i$ such that ${\mbox{H}}^i_{\mathfrak {m}}(M^{\vee })\ne 0$.
LA - eng
KW - Artinian module; local cohomology; magnitude; Matlis dual
UR - http://eudml.org/doc/30385
ER -
References
top- Local Cohomology, Lecture Notes in Math. 41, Springer Verlag, 1967. (1967) MR0224620
- A homological theory of complexes of modules, Preprint Series No. 19a & 19b, Dept. of Mathematics, Univ. Copenhagen, 1981.
- Secondary representation of modules over a commutative ring, Symp. Math. XI (1973) 23–43. Zbl0271.13001MR0342506
- 10.1093/qmath/23.2.197, Quart. J. Math. (Oxford)(2) 23 (1970), 197–204. (1970) MR0299598DOI10.1093/qmath/23.2.197
- 10.1093/qmath/21.4.425, Quart. J. Math. (Oxford) (2) 21 (1970), 425–434. (1970) Zbl0204.06003MR0276217DOI10.1093/qmath/21.4.425
- 10.1080/00927879508825288, Comm. Algebra 23 (1995), 1473–1498. (1995) Zbl0832.13004MR1317409DOI10.1080/00927879508825288
- 10.1080/00927879508825445, Comm. Algebra 23 (1995), 3993–4008. (1995) Zbl0836.13005MR1351115DOI10.1080/00927879508825445
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