A corollary to the Evans-Griffith Syzygy theorem
A General Resolution for Grade Four Gorenstein Ideals.
A new algebraic criterion for shellability.
A note on quasi-complete local rings
A Note on the Hilbertfunction of a One-Dimensional Cohen-Macaulay Ring.
A note on the Stanley-Reisner ring of a join and of a suspension.
A procedure to compute prime filtration
Let K be a field, S = K[x 1, … x n] be a polynomial ring in n variables over K and I ⊂ S be an ideal. We give a procedure to compute a prime filtration of S/I. We proceed as in the classical case by constructing an ascending chain of ideals of S starting from I and ending at S. The procedure of this paper is developed and has been implemented in the computer algebra system Singular.
A remark on a conjecture of Hain and Looijenga
We show that the natural generalization of a conjecture of Hain and Looijenga to the case of pointed curves holds for all and if and only if the tautological rings of the moduli spaces of curves with rational tails and of stable curves are Gorenstein.
A Remark on Almost Complete Intersections.
A Sharp Bound for the Minimal Number of Generators of Perfect Height Two Ideals.
A study of graded extremal rings and of monominal rings.
ACM sets of points in multiprojective space
Addendum zu: Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte:
Algebra Structure on Minimal Resolutions of Gorenstein Rings of Embedding Codimension Four.
Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen.
Algorithmetical aspects of the problem of classifying multi-projections of veronesian varieties.
Almost Split Sequence for Cohen-Macauly-Modules.
Alphabetical list of contributors of volume 37 (2008)
An application of modules of generalized fractions to grades of ideals and Gorenstein rings
An application of type sequences to the blowing-up.