Primary Decomposition of Modules: Two Variables over a Field
β Scribed by Elizabeth W. Rutman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 219 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper I present an algorithm for computing the primary decomposition of a submodule of a free module of a polynomial ring in two variables over a field (k). Based on Lazard's (1985) algorithm for primary decomposition of ideals in two variables over a field, this algorithm is more explicit than those known for more general cases.
π SIMILAR VOLUMES
Lubin conjectures that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. In this paper, we show that if the reduction of these two commuting power series are endomorphism
## B as a modular constituent with non-zero multiplicity. This result suggests that we should investigate the decomposition modulo 2 of the irreducible characters in 1 G when G is a group of Lie type of odd characteristic and B see which real-valued irreducible Brauer characters occur as constitue