In this article I describe an algorithm for computing finite dimensional graded algebras, and I describe an implementation of the algorithm. As an application of the algorithm, I investigate associative algebras satisfying the identity \(x^{4}=0\). I show that if \(A\) is an associative algebra over
An Algorithm for Computing Homology Groups
β Scribed by J.R.J. Groves
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 330 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We describe in detail the implementation of an algorithm which computes the class group and the unit group of a general number field, and solves the principal ideal problem. The basic ideas of this algorithm are due to J. Buchmann. New ideas are the use of LLL-reduction of an ideal in a given direct
One of the far-reaching problems about continuous group actions is the w x BaumαConnes conjecture BCH . Although it is an assertion about certain K-theoretic invariants in the equivariant setting the understanding of the Ε½ . corresponding equivariant co homological invariants should be most useful.
Algorithms for computing integral bases of an algebraic function field are implemented in some computer algebra systems. They are used e.g. for the integration of algebraic functions. The method used by Maple 5.2 and AXIOM is given by Trager in [Trager,1984]. He adapted an algorithm of Ford and Zass
We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms. We give an algorithm for an effective computation of these normal forms. Our approach is rational in