General local cohomology modules and Koszul homology modules

K. Khashyarmanesh; Sh. Salarian

Colloquium Mathematicae (1998)

  • Volume: 77, Issue: 2, page 305-313
  • ISSN: 0010-1354

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Khashyarmanesh, K., and Salarian, Sh.. "General local cohomology modules and Koszul homology modules." Colloquium Mathematicae 77.2 (1998): 305-313. <http://eudml.org/doc/210592>.

@article{Khashyarmanesh1998,
author = {Khashyarmanesh, K., Salarian, Sh.},
journal = {Colloquium Mathematicae},
keywords = {Koszul complex; torsion theory; triangular subset; torsion functor},
language = {eng},
number = {2},
pages = {305-313},
title = {General local cohomology modules and Koszul homology modules},
url = {http://eudml.org/doc/210592},
volume = {77},
year = {1998},
}

TY - JOUR
AU - Khashyarmanesh, K.
AU - Salarian, Sh.
TI - General local cohomology modules and Koszul homology modules
JO - Colloquium Mathematicae
PY - 1998
VL - 77
IS - 2
SP - 305
EP - 313
LA - eng
KW - Koszul complex; torsion theory; triangular subset; torsion functor
UR - http://eudml.org/doc/210592
ER -

References

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  1. [1] M. H. Bijan-Zadeh, Torsion theories and local cohomology over commutative Noetherian rings, J. London Math. Soc. 19 (1979), 402-410. Zbl0404.13010
  2. [2] M. H. Bijan-Zadeh, A common generalization of local cohomology theories, Glasgow Math. J. 21 (1980), 173-181. 
  3. [3] M. H. Bijan-Zadeh, Modules of generalized fractions and general local cohomology modules, Arch. Math. (Basel) 48 (1987), 58-62. Zbl0601.13007
  4. [4] W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge, 1993. 
  5. [5] E. S. Golod, Modules of generalized fractions, Koszul complex, and local cohomology, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986, no. 6, 7-13, 86 (in Russian); English transl.: Moscow Univ. Math. Bull. 41 (1986), no. 3, 6-13. Zbl0614.13007
  6. [6] M. A. Hamieh and R. Y. Sharp, Krull dimension and generalized fractions, Proc. Edinburgh Math. Soc. 28 (1985), 349-353. Zbl0586.13008
  7. [7] U. Nagel and P. Schenzel, Cohomological annihilators and Castelnuovo-Mumford regularity, in: Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra (South Hadley, Mass., 1992), Contemp. Math. 159, Amer. Math. Soc., Providence, R.I., 1994, 307-328. 
  8. [8] L. O'Carroll, On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417-427. Zbl0497.13007
  9. [9] J. Rotman, An Introduction to Homological Algebra, Academic Press, New York, 1979. Zbl0441.18018
  10. [10] P. Schenzel, N. V. Trung und N. T. Cuong, Verallgemeinerte Cohen-Macaulay-Moduln, Math. Nachr. 85 (1978), 57-73. 
  11. [11] R. Y. Sharp and H. Zakeri, Modules of generalized fractions, Mathematika 29 (1982), 32-41. Zbl0497.13006
  12. [12] R. Y. Sharp and H. Zakeri, Local cohomology and modules of generalized fractions, ibid., 296-306. Zbl0523.13001
  13. [13] J. Stückrad and W. Vogel, Buchsbaum Rings and Applications, Deutscher Verlag der Wiss., Berlin, 1986. Zbl0606.13017
  14. [14] H. Zakeri, Modules of generalized fractions and their application in commutative algebra, Ph.D. thesis, University of Sheffield, 1982. 

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