Computing the jump number on semi-orders is polynomial
β Scribed by A. von Arnim; C. de la Higuera
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 870 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a commutative ring and M be a projective module of rank k with n generators. Let h = nk. Standard computations show that M becomes free after localizations in n k comaximal elements (see Theorem 5). When the base ring A contains a field with at least hk + 1 non-zero distinct elements we con
## Communicated by J. Lagarias Abstract--Given a square-free integer N, the group of points on an elliptic curve over the ring ZN is defined in the natural way. We prove that computing the order of points on elliptic curves over ZN is as difficult as factoring N, in the sense of randomly polynomia