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Rigid families and endomorphism algebras of Kronecker modules

✍ Scribed by Rüdiger Göbel; Daniel Simson

Publisher
The Hebrew University Magnes Press
Year
1999
Tongue
English
Weight
943 KB
Volume
110
Category
Article
ISSN
0021-2172

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Given a field K, a Kronecker module V is a pair of K-linear spaces (U, V ) together with a K-bilinear map K 2 × U → V . In finite dimensions this is also the notion of pencils of matrices. Every K[X]-module can be construed as a Kronecker module. In particular the K[X]-submodules of K(X) give rise t