Kronecker–Weierstrass representations of modules (in the multi-variate case)

Author: Vakhtang LOmadze
Keywords: Polynomial module, Jordan block, exact sequence
Annotation:

We define (multi-variable) Jordan blocks, and using them construct the so-called Kronecker–Weierstrass models. We prove that these models allow to represent an arbitrary polynomial module. The problem of minimality for such a representation is investigated.