A characterization of unconditioned weak sequences

Steurich, Manfred

doi:10.1090/S0002-9939-1983-0681820-5

A characterization of unconditioned weak sequences
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Proc. Amer. Math. Soc. 87 (1983), 189-199 Request permission

Abstract:

Unconditioned weak sequences are characterized in terms of the Koszulhomology and applications to the theory of Buchsbaum rings and in a special case to the resolution of the ideal generated by the weak sequence are considered.

References

Mario Fiorentini, On relative regular sesquences, J. Algebra 18 (1971), 384–389. MR 277517, DOI 10.1016/0021-8693(71)90068-8
Craig Huneke, The theory of $d$-sequences and powers of ideals, Adv. in Math. 46 (1982), no. 3, 249–279. MR 683201, DOI 10.1016/0001-8708(82)90045-7
Yasuhiro Shimoda, On the syzygy part of Koszul homology on certain ideals, J. Math. Kyoto Univ. 24 (1984), no. 1, 83–90. MR 737826, DOI 10.1215/kjm/1250521386
Jürgen Stückrad and Wolfgang Vogel, Eine Verallgemeinerung der Cohen-Macaulay Ringe und Anwendungen auf ein Problem der Multiplizitätstheorie, J. Math. Kyoto Univ. 13 (1973), 513–528 (German). MR 335504, DOI 10.1215/kjm/1250523322
Jürgen Stückrad and Wolfgang Vogel, Über das Amsterdamer Programm von W. Gröbner und Buchsbaum Varietäten, Monatsh. Math. 78 (1974), 433–445 (German). MR 498619, DOI 10.1007/BF01295487
Jürgen Stückrad and Wolfgang Vogel, Toward a theory of Buchsbaum singularities, Amer. J. Math. 100 (1978), no. 4, 727–746. MR 509072, DOI 10.2307/2373908

On the Koszul complex generated by a system of parameters for a Buchsbaum module

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Wolfgang Vogel, Über eine Vermutung von D. A. Buchsbaum, J. Algebra 25 (1973), 106–112 (German). MR 327756, DOI 10.1016/0021-8693(73)90078-1