A Simple Proof for a Theorem of Nagel and Schenzel
Main Article Content
Abstract
Nagel-Schenzel’s isomorphism that has many applications was proved by using spectral sequence theory. In this short note, we present a simple proof for the theorem of Nagel and Schenzel.
Keywords:
local cohomology, filter regular sequence
References
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J. Mathematics 29 (2003), 285-296.
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Math. Soc. Providence, R.I., 307-328.
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J. Mathematics 29 (2003), 285-296.
[2] M. Brodmann and R.Y. Sharp, Local cohomology: an algebraic introduction with geometric applications,
Cambridge University Press, 1998.
[3] H. Dao and P.H. Quy, On the associated primes of local cohomology, Nagoya Math. J., to appear.
[4] U. Nagel and P. Schenzel, Cohomological annihilators and Castelnuovo-Mumford regularity, in Com-mutative algebra: Syzygies, multiplicities, and birational algebra, Contemp. Math. 159 (1994), Amer.
Math. Soc. Providence, R.I., 307-328.
[5] P.H. Quy and K. Shimomoto, F -injectivity and Frobenius closure of ideals in Noetherian rings of char-acteristic p > 0, Adv. Math. 313 (2017), 127-166.