Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SOME REMARKS ON THE p-BASIS AND DIFFERENTIAL BASIS

  • Kim, Sun Jung (Department of Mathematics Kunsan National University)
  • Received : 2013.07.04
  • Accepted : 2013.09.27
  • Published : 2013.11.15
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Abstract

The purpose of this note is to introduce interesting and useful properties differential-basis and p-basis in theorem 3.3. The result gives a existence differential basis of $S^P$ [$[{\Lambda}_1]$](S) which has a p-basis over $S^p$ ($S^p[{\Lambda}_1]$).

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References

  1. H. Matsumura, Commutative algebra, Benjamin, 1970 (second edn. 1980).
  2. H. Matsumura, Commutative Ring Theory, Cambridge Univ., 1989.
  3. M. F. Atiyah and I. G. Macdonal, Introduction to commutative algebra.
  4. T. Kimura and H. Niitsma, Differential basis and p-basis of a regular local ring, Proc. Amer. Math. Soc. 92 (1984), no. 3, 335-338.
  5. Crupi and Marilena, Free modules of differentials and p-basis, Atti Sem. Mat. Fis. Univ. Modena 42 (1984), no. 1, 141-157.
  6. L. CHiantini, p-basi e basi differenziali di un anello, Rend. Univ. Pol. 37 (1979), no. 2, 103-121.