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http://dx.doi.org/10.14403/jcms.2013.26.4.743

SOME REMARKS ON THE p-BASIS AND DIFFERENTIAL BASIS  

Kim, Sun Jung (Department of Mathematics Kunsan National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 743-748 More about this Journal
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 $S^p$ ($S^p[{\Lambda}_1]$).
Keywords
derivation; module of differentials; differential-basis; linearly independent; p-independent; p-basis; free A-module;
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  • Reference
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.