Sequences of Betti numbers
β Scribed by Mark Ramras
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 575 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we prove parts of a conjecture of Herzog giving lower bounds on the rank of the free modules appearing in the linear strand of a graded kth syzygy module over the polynomial ring. If in addition the module is β«ήβ¬ n -graded we show that the conjecture holds in full generality. Furthermo
It is known that given a Hilbert function H H, there need not exist a module which has uniquely the smallest graded Betti numbers among all modules attaining H H. In this paper we extend the previous example of this behavior to an infinite family and demonstrate with a second infinite family that ev
Componentwise linear ideals were introduced earlier to generalize the result that the Stanley Reisner ideal I 2 of a simplicial complex 2 has a linear resolution if and only if its Alexander dual 2\* is Cohen Macaulay. It turns out that I 2 is componentwise linear if and only if 2\* is sequentially