Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring
- 1 November 1972
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 69 (11) , 3404-3406
- https://doi.org/10.1073/pnas.69.11.3404
Abstract
The realization theory linear dynamical systems, previously developed over a field, are extended to a large class of commutative rings. The principal result is that the existence criterion for a finite realization extends without modification from a field to a Noetherian integral domain.Keywords
This publication has 1 reference indexed in Scilit:
- ALGEBRAIC STRUCTURE OF LINEAR DYNAMICAL SYSTEMS, I. THE MODULE OF ΣProceedings of the National Academy of Sciences, 1965