Cohen-Macaulayness and squarefree modules

Manuscripta Mathematica

Volumn 104, Issue 1, 2001, Pages 39-48

  Römer, Tim ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529594     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290170045     Document Type: Article

References (14)

1. Aramova, A., Avramov, L. L., Herzog, J.: Resolutions of monomial ideals and cohomology over exterior algebras. Trans. Amer. Math. Soc. 352, 579-594 (2000)
2. Aramova, A., Herzog, J.: Almost regular sequences and Betti numbers. Amer. J. Math. 122, 689-719 (2000)
3. Aramova, A., Herzog, J., Hibi, T.: Gotzmann theorems for exterior algebras and combinatorics. J. Algebra 191, 174-211 (1997)
4. Bayer, D., Charalambous, H., Popescu, S.: Extremal Betti numbers and applications to monomial ideals. J. Algebra 221, 497-512 (1999)
5. Bruns, W., Herzog, J.: Cohen-Macaulay rings. Revised Edition, Cambridge Studies in Advanced Mathematics 39, Cambridge: Cambridge Univ. Press, 1998
6. Eagon, J., Reiner, V.: Resolutions of Stanley-Reisner rings and Alexander duality. J. Pure Appl. Algebra 130, 265-275 (1998)
7. Miller, E. : The Alexander Duality Functors and Local Duality with Monomial Support. J. Algebra 231, 180-234 (2000)
8. Herzog, J., Reiner, V., Welker, V.: Componentwise linear ideals and Golod rings. Michigan Math. J. 46, 211-223 (1999)
9. Herzog, J., Hibi, T.: Componentwise linear ideals. Nagoya Math. J. 153, 141-153 (1999)
10. Römer, T: Generalized Alexander Duality and Applications. To appear in Osaka J. Math.
11. Schenzel, S.: On the dimension filtration and Cohen-Macaulay filtered modules. In: Commutative algebra and algebraic geometry (Ferrara), Lecture Notes in Pure and Appl. Math. 206, New York: Dekker, 1999, pp. 245-264
12. Stanley, R. P.: Combinatorics and commutative algebra. Second edition, Progress in Mathematics 41, Boston: Birkhäuser Boston, 1996
13. Terai, N.: Generalization of Eagon-Reiner theorem and h-vectors of graded rings. Preprint (1997)
14. n-Graded Modules. J. Algebra 225, 630-645 (2000)