Title:
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Decomposition of finitely generated modules using Fitting ideals (English) |
Author:
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Hadjirezaei, Somayeh |
Author:
|
Hedayat, Sina |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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70 |
Issue:
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4 |
Year:
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2020 |
Pages:
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1179-1190 |
Summary lang:
|
English |
. |
Category:
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math |
. |
Summary:
|
Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The main result of this paper is to characterize modules whose first nonzero Fitting ideal is a product of maximal ideals of $R$, in some cases. (English) |
Keyword:
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Fitting ideal |
Keyword:
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torsion submodule |
Keyword:
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regular element |
MSC:
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13C05 |
MSC:
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13D05 |
idZBL:
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07285989 |
idMR:
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MR4181806 |
DOI:
|
10.21136/CMJ.2020.0350-19 |
. |
Date available:
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2020-11-18T09:50:54Z |
Last updated:
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2023-01-02 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/148421 |
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
[5] Hadjirezaei, S., Hedayat, S.: On the first nonzero Fitting ideal of a module over a UFD.Commun. Algebra 41 (2013), 361-366. Zbl 1261.13004, MR 3010542, 10.1080/00927872.2011.630851 |
Reference:
|
[6] Hadjirezaei, S., Hedayat, S.: On finitely generated module whose first nonzero Fitting ideal is maximal.Commun. Algebra 46 (2018), 610-614. Zbl 06875435, MR 3764882, 10.1080/00927872.2017.1324875 |
Reference:
|
[7] Hadjirezaei, S., Karimzadeh, S.: On the first nonzero Fitting ideal of a module over a UFD II.Commun. Algebra 46 (2018), 5427-5432. Zbl 1409.13019, MR 3923770, 10.1080/00927872.2018.1469027 |
Reference:
|
[8] Huneke, C., Jorgensen, D. A., Katz, D.: Fitting ideals and finite projective dimension.Math. Proc. Camb. Philos. Soc. 138 (2005), 41-54. Zbl 1099.13028, MR 2127226, 10.1017/S030500410400814X |
Reference:
|
[9] Lipman, J.: On the Jacobian ideal of the module of differentials.Proc. Am. Math. Soc. 21 (1969), 422-426. Zbl 0174.52703, MR 0237511, 10.1090/S0002-9939-1969-0237511-0 |
Reference:
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Reference:
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