Email this article Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras)
- Authors: Gerasimova O.V.1, Razmyslov Y.P.1, Pogudin G.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 221, No 3 (2017)
- Pages: 315-325
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238980
- DOI: https://doi.org/10.1007/s10958-017-3229-3
- ID: 238980
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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.
About the authors
O. V. Gerasimova
Lomonosov Moscow State University
Email: pogudin.gleb@gmail.com
Russian Federation, Moscow
Yu. P. Razmyslov
Lomonosov Moscow State University
Email: pogudin.gleb@gmail.com
Russian Federation, Moscow
G. A. Pogudin
Lomonosov Moscow State University
Author for correspondence.
Email: pogudin.gleb@gmail.com
Russian Federation, Moscow
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