Koszul cycles and Eliahou-Kervaire type resolutions

Journal of Algebra

Volumn 181, Issue 2, 1996, Pages 347-370

  Aramova, Annetta ^a   Herzog, Jürgen ^b  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001117561     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0124     Document Type: Article

References (14)

1. A. Aramova and J. Herzog, Resolutions and Koszul homology, J. Pure Appl. Algebra 105 (1995), 1-16.
2. D. Bayer and M. Stillman, A criterion for detecting m-regularity. Invent. Math. 87 (1987), 1-11.
3. A. M. Bigatti, Upper bounds for the Betti numbers of a given Hilbert function, Comm. Algebra 21 No. 2 (1993), 2317-2334.
4. W. Bruns and J. Herzog, "Cohen-Macaulay Rings," Cambridge Studies in Advanced Mathematics, Vol. 39, Cambridge Univ. Press, Cambridge, UK, 1993.
5. A. Campillo and C. Marijuan, Higher order relations for a numerical semigroup, Sém. Théor. Nombres Bordeaux (2) 3 (1991), 249-260.
6. G. D. Eisenbud, O. Riemenschneider, and F. O. Schreyer, Projective resolutions of Cohen-Macaulay algebras, Math. Ann. 257 (1981), 85-98.
7. S. Eliahou and M. Kervaire, Minimal resolutions of some monomial ideals, J. Algebra 129 (1990), 1-25.
8. J. Elias, On the Betti numbers of Cohen-Macaulay modules, preprint, 1993.
9. T. H. Gulliksen and G. Levin, "Homology of Local Rings," Queen's Papers in Pure and Appl. Math. 20 (1969).
10. J. Herzog, A. Simis, and W. Vasconcelos, Approximation complexes and blowing-up rings, II, J. Algebra 82, No. 2 (1983), 53-83.
11. M. Hochster, Cohen-Macaulay rings, combinatorics and simplicial complexes, in "Ring Theory II," pp. 171-223, Dekker, New York, 1977.
12. H. A. Hullett, Maximum Betti numbers for a given Hilbert function, Comm. Algebra 21, No. 2 (1993), 2335-2350.
13. K. Pardue, Nonstandard Borel-fixed ideals, PhD thesis, Brandeis University, 1994.
14. G. Valla, On the Betti numbers of perfect ideals, Compositio Math. 91 (1994), 305-319.