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

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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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-03, Vol.221 (3), p.315-325
Main Authors: Gerasimova, O. V., Razmyslov, Yu. P., Pogudin, G. A.
Format: Article
Language:English
Subjects:
Algebra
Differential equations
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3229-3