Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

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

Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

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

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

5 Citations (Scopus)

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)	7-24
Nombre de pages	18
journal	Fundamental and Applied Mathematics
Volume	19
Numéro de publication	6
état	Publié - 1 janv. 2014

Contient cette citation

@article{6809ae6264ca44e0bb7a97ae37069879,

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.\}",

year = "2014",

month = jan,

day = "1",

language = "English",

volume = "19",

pages = "7--24",

journal = "Fundamental and Applied Mathematics",

issn = "1560-5159",

publisher = "KnoRus Publishing Company LLC",

number = "6",

}

TY - JOUR

T1 - Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

AU - Gerasimova, O. V.

AU - Razmyslov, Yu P.

AU - Pogudin, G. A.

PY - 2014/1/1

Y1 - 2014/1/1

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.

AB - 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.

M3 - Article

AN - SCOPUS:84945926602

SN - 1560-5159

VL - 19

SP - 7

EP - 24

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 6

ER -

Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

Résumé

Empreinte digitale

Contient cette citation