On the support of local cohomology modules and filter regular sequences
Kazem Khashyarmanesh
Source: J. Commut. Algebra Volume 2, Number 2
(2010), 177-185.
First Page:
Show
Hide
Primary Subjects:
13D45
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jca/1275403636
Digital Object Identifier: doi:10.1216/JCA-2010-2-2-177
Mathematical Reviews number (MathSciNet): MR2647474
References
M. Brodmann and A. Faghani, A finiteness result for associated primes of local cohomology modules, Proc. Amer. Math. Soc. 128 (2000), 2851-2853.
Mathematical Reviews (MathSciNet): MR1664309
Zentralblatt MATH: 0955.13007
Digital Object Identifier: doi:10.1090/S0002-9939-00-05328-4
JSTOR: links.jstor.org
M. Brodmann, Ch. Rotthaus and R.Y. Sharp, On annihilators and associated primes of local cohomology modules, J. Pure Appl. Algebra 153 (2000), 197-227.
Mathematical Reviews (MathSciNet): MR1783166
Zentralblatt MATH: 0968.13010
Digital Object Identifier: doi:10.1016/S0022-4049(99)00104-8
M. Brodmann and R.Y. Sharp, Local cohomology-An algebraic introduction with geometric applications, Cambridge Stud. Adv. Math. 60, Cambridge University Press, Cambridge, 1998.
Mathematical Reviews (MathSciNet): MR1613627
M. Hellus, On the set of associated primes of local cohomology modules, J. Algebra 237 (2001), 406-419.
Mathematical Reviews (MathSciNet): MR1813886
Zentralblatt MATH: 1027.13009
Digital Object Identifier: doi:10.1006/jabr.2000.8580
C.L. Huneke, Problems on local cohomology. Free resolutions in commutative algebra and algebraic geometry, Res. Notes Math. 2, Jones and Bartlett, Boston, MA, 1992%), 93--108.
Mathematical Reviews (MathSciNet): MR1165320
Zentralblatt MATH: 0782.13015
C.L. Huneke, D. Katz and T. Marley, On the support of local cohomology, Journal of Algebra, to appear.
C.L. Huneke and R.Y. Sharp, Bass numbers of local cohomology modules, Trans. Amer. Math. Soc. 339 (1993), 765-779.
Mathematical Reviews (MathSciNet): MR1124167
Zentralblatt MATH: 0785.13005
Digital Object Identifier: doi:10.2307/2154297
JSTOR: links.jstor.org
M. Katzman, An example of an infinite set of associated primes of a local cohomology module, J. Algebra 252 (2002), 161-166.
Mathematical Reviews (MathSciNet): MR1922391
Zentralblatt MATH: 1083.13505
Digital Object Identifier: doi:10.1016/S0021-8693(02)00032-7
K. Khashyarmanesh, On the finiteness properties of extension and torsion functors of local cohomology modules, Proc. Amer. Math. Soc. 135 (2007), 1319-1327.
Mathematical Reviews (MathSciNet): MR2276640
Zentralblatt MATH: 1111.13016
Digital Object Identifier: doi:10.1090/S0002-9939-06-08664-3
--------, On the Matlis duals of local cohomology modules, Arch. Math. 88 (2007), 413-418.
Mathematical Reviews (MathSciNet): MR2316886
Zentralblatt MATH: 1112.13020
Digital Object Identifier: doi:10.1007/s00013-006-1115-1
K. Khashyarmanesh and Sh. Salarian, On the associated primes of local cohomology modules, Comm. Algebra 27 %(12) (1999), 6191-6198.
Mathematical Reviews (MathSciNet): MR1726302
Zentralblatt MATH: 0940.13013
Digital Object Identifier: doi:10.1080/00927879908826816
G. Lyubeznik, Finiteness properties of local cohomology modules (An application of $D$-modules to commutative algebra), Invent. Math. 113 (1993), 41-55.
Mathematical Reviews (MathSciNet): MR1223223
Zentralblatt MATH: 0795.13004
Digital Object Identifier: doi:10.1007/BF01244301
--------, Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: The unramified case, Comm. Algebra 28 (2000), 5867-5882.
Mathematical Reviews (MathSciNet): MR1808608
Digital Object Identifier: doi:10.1080/00927870008827193
T. Marley, The associated primes of local cohomology modules over rings of small dimension, Manuscripta Math. 104 (2001), 519-525.
Mathematical Reviews (MathSciNet): MR1836111
Zentralblatt MATH: 0987.13009
Digital Object Identifier: doi:10.1007/s002290170024
P. Schenzel, N.V. Trung and N.T. Cuong, Verallgemeinerte Cohen-Macaulay-Moduln, Math. Nachr. 85 (1978), 57-73.
Mathematical Reviews (MathSciNet): MR517641
Digital Object Identifier: doi:10.1002/mana.19780850106
A. Singh, $p$-torsion elements in local cohomology modules, Math. Res. Lett. 7 (2000), 165-176.
Mathematical Reviews (MathSciNet): MR1764314
Zentralblatt MATH: 0965.13013
A. Singh and T. Swanson, Associated primes of local cohomology modules and of Frobenius powers, Int. Math. Res. Not. 33 (2004), 1703-1733.
Mathematical Reviews (MathSciNet): MR2058025
Zentralblatt MATH: 1094.13006
Digital Object Identifier: doi:10.1155/S1073792804133424
J. Stückrad and W. Vogel, Buchsbaum rings and applications, VEB Deutscher Verlag der Wissenschaftan, Berlin 1986.
Mathematical Reviews (MathSciNet): MR881220
Journal of Commutative Algebra
