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Year 2020, Volume: 49 Issue: 5, 1625 - 1634, 06.10.2020
https://doi.org/10.15672/hujms.559956

Abstract

References

  • [1] M. Blickle and G. Böckle, Cartier modules: finiteness results, J. Reine Angew. Math. 661, 85-123, 2011.
  • [2] M. Blickle and K. Schwede, $p^{-1}$-linear maps in algebra and geometry, in: Comm. Algebra, 123–205, Springer, New York, 2013.
  • [3] M.P. Brodmann and R.Y. Sharp, Local Cohomology: An Algebraic Introduction with Geometric Applications, Second Ed., Cambridge University Press, 2013.
  • [4] S. Iyengar, G.J. Leuschke, A. Leykin, C. Miller, E. Miller, A.K. Singh, and U.Walther, Twenty-Four Hours of Local Cohomology, American Mathematical Society, 2007.
  • [5] M. Katzman, Parameter test ideals of Cohen Macaulay rings, Compos. Math. 144 (4), 933–948, 2008.
  • [6] M. Katzman and W. Zhang, Annihilators of Artinian modules compatible with a Frobenius map, J. Symbolic Comput. 60, 29-46, 2014.
  • [7] G. Lyubeznik, F-modules: applications to local cohomology and D-modules in characteristic $p > 0$, J. Reine Angew. Math. 491, 65–130, 1997.
  • [8] R.Y. Sharp and Y. Yoshino, Right and left modules over the Frobenius skew polynomial ring in the F-finite case, Math. Proc. Cambridge Philos. Soc. 150 (3), 419-438, 2011.

An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps

Year 2020, Volume: 49 Issue: 5, 1625 - 1634, 06.10.2020
https://doi.org/10.15672/hujms.559956

Abstract

In this paper, we introduce an explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps which recovers the correspondence given by R. Y. Sharp and Y. Yoshino, and the correspondence given by M. Blickle and G. Böckle.

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References

  • [1] M. Blickle and G. Böckle, Cartier modules: finiteness results, J. Reine Angew. Math. 661, 85-123, 2011.
  • [2] M. Blickle and K. Schwede, $p^{-1}$-linear maps in algebra and geometry, in: Comm. Algebra, 123–205, Springer, New York, 2013.
  • [3] M.P. Brodmann and R.Y. Sharp, Local Cohomology: An Algebraic Introduction with Geometric Applications, Second Ed., Cambridge University Press, 2013.
  • [4] S. Iyengar, G.J. Leuschke, A. Leykin, C. Miller, E. Miller, A.K. Singh, and U.Walther, Twenty-Four Hours of Local Cohomology, American Mathematical Society, 2007.
  • [5] M. Katzman, Parameter test ideals of Cohen Macaulay rings, Compos. Math. 144 (4), 933–948, 2008.
  • [6] M. Katzman and W. Zhang, Annihilators of Artinian modules compatible with a Frobenius map, J. Symbolic Comput. 60, 29-46, 2014.
  • [7] G. Lyubeznik, F-modules: applications to local cohomology and D-modules in characteristic $p > 0$, J. Reine Angew. Math. 491, 65–130, 1997.
  • [8] R.Y. Sharp and Y. Yoshino, Right and left modules over the Frobenius skew polynomial ring in the F-finite case, Math. Proc. Cambridge Philos. Soc. 150 (3), 419-438, 2011.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Mehmet Yesil 0000-0002-5220-5177

Publication Date October 6, 2020
Published in Issue Year 2020 Volume: 49 Issue: 5

Cite

APA Yesil, M. (2020). An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps. Hacettepe Journal of Mathematics and Statistics, 49(5), 1625-1634. https://doi.org/10.15672/hujms.559956
AMA Yesil M. An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps. Hacettepe Journal of Mathematics and Statistics. October 2020;49(5):1625-1634. doi:10.15672/hujms.559956
Chicago Yesil, Mehmet. “An Explicit Version of the Correspondence Between Noetherian Modules With Cartier Maps and Artinian Modules With Frobenius Maps”. Hacettepe Journal of Mathematics and Statistics 49, no. 5 (October 2020): 1625-34. https://doi.org/10.15672/hujms.559956.
EndNote Yesil M (October 1, 2020) An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps. Hacettepe Journal of Mathematics and Statistics 49 5 1625–1634.
IEEE M. Yesil, “An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 5, pp. 1625–1634, 2020, doi: 10.15672/hujms.559956.
ISNAD Yesil, Mehmet. “An Explicit Version of the Correspondence Between Noetherian Modules With Cartier Maps and Artinian Modules With Frobenius Maps”. Hacettepe Journal of Mathematics and Statistics 49/5 (October 2020), 1625-1634. https://doi.org/10.15672/hujms.559956.
JAMA Yesil M. An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps. Hacettepe Journal of Mathematics and Statistics. 2020;49:1625–1634.
MLA Yesil, Mehmet. “An Explicit Version of the Correspondence Between Noetherian Modules With Cartier Maps and Artinian Modules With Frobenius Maps”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 5, 2020, pp. 1625-34, doi:10.15672/hujms.559956.
Vancouver Yesil M. An explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps. Hacettepe Journal of Mathematics and Statistics. 2020;49(5):1625-34.