A note on finite determinacy of matrices

In this note, we give a necessary and sufficient condition for a matrix A in M to be finitely G-determined, where M is the ring of 2 x 2 matrices whose entries are formal power series over an infinite field, and G is a group acting on M by change of coordinates together with multiplication by invert...

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Authors: Thuy Huong Pham, Pedro Macias Marques
Format: Article
Language:English
Subjects:
Multiplication
Power series
Rings (mathematics)
Online Access:Get full text
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Summary:In this note, we give a necessary and sufficient condition for a matrix A in M to be finitely G-determined, where M is the ring of 2 x 2 matrices whose entries are formal power series over an infinite field, and G is a group acting on M by change of coordinates together with multiplication by invertible matrices from both sides.
ISSN:2331-8422