1. Loewy and primary decompositions of -modules
- Author
-
Grigoriev, D. and Schwarz, F.
- Subjects
- *
ALGORITHMS , *MODULES (Algebra) , *ALGEBRA , *FOUNDATIONS of arithmetic - Abstract
Abstract: Two kinds of decompositions of a -module are introduced in this article, a Loewy-decomposition and a primary decomposition. Algorithms are described which allow to construct decompositions for finite-dimensional -modules. Both decompositions rely on the concept of the -module of relative syzygies introduced in the paper. Furthermore an algorithm is described which tests whether two given -modules are isomorphic under the relevant type of transformations. [Copyright &y& Elsevier]
- Published
- 2007
- Full Text
- View/download PDF