Keywords: associated prime ideals; Grothendieck spectral sequence; local cohomology module; semiprime closure operation
@article{10_21136_CMJ_2019_0077_18,
author = {Hassanzadeh-Lelekaami, Dawood and Roshan-Shekalgourabi, Hajar},
title = {Associated primes of local cohomology modules of generalized {Laskerian} modules},
journal = {Czechoslovak Mathematical Journal},
pages = {1101--1109},
year = {2019},
volume = {69},
number = {4},
doi = {10.21136/CMJ.2019.0077-18},
mrnumber = {4039624},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0077-18/}
}
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 SP - 1101 EP - 1109 VL - 69 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0077-18/ DO - 10.21136/CMJ.2019.0077-18 LA - en ID - 10_21136_CMJ_2019_0077_18 ER -
%0 Journal Article %A Hassanzadeh-Lelekaami, Dawood %A Roshan-Shekalgourabi, Hajar %T Associated primes of local cohomology modules of generalized Laskerian modules %J Czechoslovak Mathematical Journal %D 2019 %P 1101-1109 %V 69 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0077-18/ %R 10.21136/CMJ.2019.0077-18 %G en %F 10_21136_CMJ_2019_0077_18
Hassanzadeh-Lelekaami, Dawood; Roshan-Shekalgourabi, Hajar. Associated primes of local cohomology modules of generalized Laskerian modules. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1101-1109. doi: 10.21136/CMJ.2019.0077-18
[1] Brodmann, M. P., Lashgari, F. A.: A finiteness result for associated primes of local cohomology modules. Proc. Am. Math. Soc. 128 (2000), 2851-2853. | DOI | MR | JFM
[2] Brodmann, M. P., Sharp, R. Y.: Local Cohomology. An Algebraic Introduction with Geometric Applications. Cambridge Studies in Advanced Mathematics 60, Cambridge University Press, Cambridge (1998). | DOI | MR | JFM
[3] Divaani-Aazar, K., Mafi, A.: Associated primes of local cohomology modules. Proc. Am. Math. Soc. 133 (2005), 655-660. | DOI | MR | JFM
[4] Divaani-Aazar, K., Mafi, A.: Associated primes of local cohomology modules of weakly Laskerian modules. Commun. Algebra 34 (2006), 681-690. | DOI | MR | JFM
[5] Hartshorne, R.: Affine duality and cofiniteness. Invent. Math. 9 (1970), 145-164. | DOI | MR | JFM
[6] Hassanzadeh-Lelekaami, D.: A closure operation on submodules. J. Algebra Appl. 16 (2017), Article ID 1750229, 22 pages. | DOI | MR | JFM
[7] Huneke, C.: Problems on local cohomology. Free Resolutions in Commutative Algebra and Algebraic Geometry Research Notes in Mathematics 2, Jones and Bartlett Publishers, Boston (1992), 93-108. | MR | JFM
[8] Katzman, M.: An example of an infinite set of associated primes of a local cohomology module. J. Algebra 252 (2002), 161-166. | DOI | MR | JFM
[9] Khashyarmanesh, K., Salarian, Sh.: On the associated primes of local cohomology modules. Commun. Algebra 27 (1999), 6191-6198. | DOI | MR | JFM
[10] Kirby, D.: Components of ideals in a commutative ring. Ann. Mat. Pura Appl. (4) 71 (1966), 109-125. | DOI | MR | JFM
[11] Rotman, J. J.: An Introduction to Homological Algebra. Universitext, Springer, New York (2009). | DOI | MR | JFM
[12] Singh, A. K.: $p$-torsion elements in local cohomology modules. Math. Res. Lett. 7 (2000), 165-176. | DOI | MR | JFM
[13] Zöschinger, H.: Minimax-Moduln. J. Algebra 102 (1986), 1-32 German. | DOI | MR | JFM
Cité par Sources :