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Research Articles

Counting skew monomials in the Frobenius skew polynomial ring

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Pages 1955-1968 | Received 19 Jul 2021, Accepted 10 Oct 2022, Published online: 29 Nov 2022

References

  • Borho, W., Kraft, H. (1976). Über die Gelfand-Kirillov-Dimension. Math. Ann. 220(1):1–24.
  • Krause, G. R., Lenagan, T. H. (2000). Growth of Algebras and Gelfand-Kirillov Dimension., Revised edition. Graduate Studies in Mathematics, Vol. 22. Providence, RI: American Mathematical Society, pp. x+212.
  • Lyubeznik, G. (1997). F-modules: applications to local cohomology and D-modules in characteristic p > 0. J. Reine Angew. Math. 491:65–130. DOI: 10.1515/crll.1997.491.65.
  • Lyubeznik, G., Smith, K. E. (2001). On the commutation of the test ideal with localization and completion. Trans. Amer. Math. Soc. 3 53(8):3149–3180.
  • Prasolov, V. V. (2004). Polynomials. Translated from the 2001 Russian second edition by Dimitry Leites. Algorithms and Computation in Mathematics, Vol. 11. Berlin: Springer-Verlag, pp. xiv+301.
  • Sharp, R. Y. (2007). Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure. Trans. Amer. Math. Soc. 359(9):4237–4258.
  • Sharp, R. Y., Yoshino, Y. (2011). Right and left modules over the Frobenius skew polynomial ring in the F-finite case. Math. Proc. Cambridge Philos. Soc. 150(3):419–438.
  • Smith, K. E. (1997). F-rational rings have rational singularities. Amer. J. Math. 119(1):159–180.
  • Yoshino, Y. (1994). Skew-polynomial rings of Frobenius type and the theory of tight closure. Commun. Algebra 22(7):2473–2502. DOI: 10.1080/00927879408824972.

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