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Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras)

Abstract

In the present paper, we describe an algebraic point of view on the notion of the solution of a system of algebraic differential equations. We apply Capelli’s rank theorem to prime and simple differential algebras.

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Correspondence to G. A. Pogudin.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 6, pp. 7–24, 2014.

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Gerasimova, O.V., Razmyslov, Y.P. & Pogudin, G.A. Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras). J Math Sci 221, 315–325 (2017). https://doi.org/10.1007/s10958-017-3229-3

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