Associated primes of local cohomology modules of generalized Laskerian modules

Dawood Hassanzadeh-Lelekaami; Hajar Roshan-Shekalgourabi

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 4, page 1101-1109
  • ISSN: 0011-4642

Abstract

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Let ℐ be a set of ideals of a commutative Noetherian ring R . We use the notion of ℐ -closure operation which is a semiprime closure operation on submodules of modules to introduce the class of ℐ -Laskerian modules. This enables us to investigate the set of associated prime ideals of certain ℐ -closed submodules of local cohomology modules.

How to cite

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Hassanzadeh-Lelekaami, Dawood, and Roshan-Shekalgourabi, Hajar. "Associated primes of local cohomology modules of generalized Laskerian modules." Czechoslovak Mathematical Journal 69.4 (2019): 1101-1109. <http://eudml.org/doc/294687>.

@article{Hassanzadeh2019,
abstract = {Let $\mathcal \{I\}$ be a set of ideals of a commutative Noetherian ring $R$. We use the notion of $\mathcal \{I\}$-closure operation which is a semiprime closure operation on submodules of modules to introduce the class of $\mathcal \{I\}$-Laskerian modules. This enables us to investigate the set of associated prime ideals of certain $\mathcal \{I\}$-closed submodules of local cohomology modules.},
author = {Hassanzadeh-Lelekaami, Dawood, Roshan-Shekalgourabi, Hajar},
journal = {Czechoslovak Mathematical Journal},
keywords = {associated prime ideals; Grothendieck spectral sequence; local cohomology module; semiprime closure operation},
language = {eng},
number = {4},
pages = {1101-1109},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Associated primes of local cohomology modules of generalized Laskerian modules},
url = {http://eudml.org/doc/294687},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Hassanzadeh-Lelekaami, Dawood
AU - Roshan-Shekalgourabi, Hajar
TI - Associated primes of local cohomology modules of generalized Laskerian modules
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 1101
EP - 1109
AB - Let $\mathcal {I}$ be a set of ideals of a commutative Noetherian ring $R$. We use the notion of $\mathcal {I}$-closure operation which is a semiprime closure operation on submodules of modules to introduce the class of $\mathcal {I}$-Laskerian modules. This enables us to investigate the set of associated prime ideals of certain $\mathcal {I}$-closed submodules of local cohomology modules.
LA - eng
KW - associated prime ideals; Grothendieck spectral sequence; local cohomology module; semiprime closure operation
UR - http://eudml.org/doc/294687
ER -

References

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