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Applications of the Chinese Remainder Theorem

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Linear Time-Invariant Systems, Behaviors and Modules

Part of the book series: Differential-Algebraic Equations Forum ((DAEF))

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Abstract

It applies to coprime ideals in a not necessarily commutative ring.

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References

  1. U. Oberst, Anwendungen des chinesischen Restsatzes. Exp. Math. 3, 97–148 (1985)

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  2. S. Lang, Algebra, Graduate Texts in Mathematics, vol. 211, 3rd edn. (Springer, New York, 2002)

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  3. J.W. Polderman, J.C. Willems, Introduction to Mathematical Systems Theory: A Behavioral Approach, Texts in Applied Mathematics, vol. 26 (Springer, New York, 1998)

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  4. U. Oberst, Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients. AAECC 6, 211–243 (1995)

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  5. T. Kailath, Linear systems (Prentice-Hall, Englewood Cliffs, 1980)

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  6. H. Bourlès, Linear Systems (ISTE, London, 2010)

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  7. P.J. Antsaklis, A.N. Michel, Linear Systems, 2nd edn. (Birkhäuser, Boston, 2006)

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Correspondence to Ulrich Oberst .

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Oberst, U., Scheicher, M., Scheicher, I. (2020). Applications of the Chinese Remainder Theorem. In: Linear Time-Invariant Systems, Behaviors and Modules. Differential-Algebraic Equations Forum. Springer, Cham. https://doi.org/10.1007/978-3-030-43936-1_5

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