JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON THE MINIMAL GRADED FREE RESOLUTION OF POWERS OF LEXSEGMENT IDEALS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON THE MINIMAL GRADED FREE RESOLUTION OF POWERS OF LEXSEGMENT IDEALS
Olteanu, Anda;
  PDF(new window)
 Abstract
We consider powers of lexsegment ideals with a linear resolution (equivalently, with linear quotients) which are not completely lexsegment ideals. We give a complete description of their minimal graded free resolution.
 Keywords
lexsegment ideals;linear resolution;linear quotients;monomial ideal;
 Language
English
 Cited by
 References
1.
A. Aramova, E. De Negri, and J. Herzog, Lexsegment ideals with linear resolutions, Illinois J. Math. 42 (1998), no. 3, 509-523.

2.
A. Conca, Regularity jumps for powers of ideals, Proceedings Lisbon Conference on Commutative Algebra, Lisbon-Portugal, 2003.

3.
A. Conca and J. Herzog, Castelnuovo-Mumford regularity of products of ideals, Collect. Math. 54 (2003), no. 2, 137-152.

4.
E. De Negri and J. Herzog, Completely lexsegment ideals, Proc. Amer. Math. Soc. 126 (1998), no. 12, 3467-3473.

5.
V. Ene, A. Olteanu, and L. Sorrenti, Properties of lexsegment ideals, Osaka J. Math. 47 (2010), no. 1, 67-87.

6.
V. Ene and A. Olteanu, Powers of lexsegment ideals with linear resolutions, arXiv:1011.2157, to appear in Illinois J. Math.

7.
J. Herzog and Y. Takayama, Resolutions by mapping cones, Homology Homotopy Appl. 4 (2002), no. 2, 277-294. crossref(new window)

8.
H. Hulett and H. M. Martin, Betti numbers of lex-segment ideals, J. Algebra 275 (2004), no. 2, 629-638. crossref(new window)

9.
M. Ishaq, Lexsegment ideals are sequentially Cohen-Macaulay, ArXiv:1010.5615v2.

10.
A. Olteanu, Normally torsion-free lexsegment ideals, arXiv: 1010.1473v1, to appear in Alg. Coll.

11.
A. Olteanu, O. Olteanu, and L. Sorrenti, Gotzmann lexsegment ideals, Matematiche (Catania) 63 (2008), no. 2, 229-241.