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

O. V. Gerasimova; Yu P. Razmyslov; G. A. Pogudin

doi:10.1007/s10958-017-3229-3

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

O. V. Gerasimova
, Yu P. Razmyslov
, G. A. Pogudin

Moscow State University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	315-325
Nombre de pages	11
journal	Journal of Mathematical Sciences
Volume	221
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s10958-017-3229-3
état	Publié - 1 mars 2017
Modification externe	Oui

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10.1007/s10958-017-3229-3

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title = "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{\textquoteright}s rank theorem to prime and simple differential algebras.",

author = "Gerasimova, \{O. V.\} and Razmyslov, \{Yu P.\} and Pogudin, \{G. A.\}",

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PY - 2017/3/1

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N2 - 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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VL - 221

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EP - 325

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

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

Résumé

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