Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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F-RATIONALITY OF A PURE SUBRING OF AN F-RATIONAL RING

  • Moon, Myung-In (Global Analysis Research Center, Seoul National University)
  • Published : 1997.10.01
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Abstract

In this paper we will show that the pure subring R of F-rational ring S is F-rational when R is a one-dimensional ring, or S is a Gorenstein ring. And we will give a condition that a pure subring of an F-rational ring is to be F-rational.

Keywords

References

  1. Proceedings of the program in commutative algebra at MSRI, Publ. v.15 A characterization of F-regularity in terms of F-purity Fedder, R.;K. i. Watanabe
  2. Journal A. M. S. v.3 Tight closure, invarint theory, and the Briancon-Skoda Theorem Hochster, M.;C. Huneke
  3. Contemporary Math. v.159 Tighy closure in equal characteristic, big Cohen-Macaulay algebras, and solid closure Hochster, M.
  4. Adv. in Math. v.13 Rings of invariants of reductive groups acting on regular rings are Chhen-Macaulay Hochster, M.;J. L. Roberts