On the duality principle for linear dynamical systems over commutative rings
نویسندگان
چکیده
منابع مشابه
On the Duality Principle for Linear Dynamical Systems Over Commutative Rings
The main result in this paper characterizes those commutative rings R having the property that every linear dynamical system over R verifies the duality principle [i.e., the system 2 is observable (reachable) if and only if the dual system 8’ is reachable (observable)]. This characterization is given in terms of the finitely generated faithful ideals of R, and it generalizes a result due to Chi...
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Syndrome decoding is a more efficient method of decoding linear codes over finite fields over a noisy channel [5]. Thus, in this paper we investigate the generalization of the syndrome decoding to linear codes over finite commutative rings. A first generalization was given in [1] via Pontryagin duality. In the same direction we give another generalization using linear functional-based duality. ...
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Let A be an algebra over a commutative ring R. If R is noetherian and A◦ is pure in R, then the categories of rational left A-modules and right A◦-comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner– Montgomery duality theorem. Finally, we give sufficient conditions to get the purity of A◦ in R. © 2001 Academic Press
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90397-u