13th International MEDCOAST Congress on Coastal and Marine Sciences, Engineering, Management and Conservation, MEDCOAST 2017.
Mediterranean Coastal Foundation.
Vol. 2.
2017.
P. 1091-1102
Existence of the n-th root in finite-dimensional power-associative algebras over reals
The paper is devoted to the solvability of equations in finite-dimensional powerassociative algebras over R: Necessary and sufficient conditions for the existence of the n-th root in a power-associative R-algebra are obtained. Sufficient solvability conditions for a specific class of polynomial equations in a power-associative R-algebra are derived.
Authors
Arutyunov A.A.
1,
2
,
Zhukovskiy S.E.
3
Journal
Publisher
Eurasian Mathematical Journal
Number of issue
3
Language
English
Pages
28-35
Status
Published
Link
Volume
8
Year
2017
Organizations
- 1 Department of Higher Mathematics, Moscow Institute of Physics and Technology, Inststitutskii per., 9, Dolgoprudny, Moscow region, 141700, Russian Federation
- 2 S.M. Nikol'skii Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
- 3 S.M. Nikol'skii Mathematical Institute, Department of Nonlinear Analysis, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
Keywords
Cayley-Dickson construction; Power-associative algebra; Real algebra
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