On consistency of systems of symbolic polynomial equations and their application | Applied Discrete Mathematics. Supplement. 2016. № 9.

On consistency of systems of symbolic polynomial equations and their application

Approaches to solving the systems of non-commutative polynomial equations in the form of formal power series are developed. The problems concerning the consistency of such a system are investigated on the base of the investigation of the commutative image of this system, which is obtained under the assumption that the symbols in the system denote variables taking values in the field of complex numbers and the operations in the system are commutative.

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Keywords

некоммутативные переменные, полиномиальные уравнения, формальный степенной ряд, коммутативный образ, non-commutative variables, polynomial equations, formal power series, commutative image

Authors

Name	Organization	E-mail
Egorushkin O.I.	Siberian State Aerospace University	olegegoruschkin@yandex.ru
Kolbasina I. V.	Siberian State Aerospace University	kabaskina@yandex.ru
Safonov K. V.	Siberian State Aerospace University	safonovkv@rambler.ru

Всего: 3

References

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Salomaa A. and Soitolla M. Automata-Theoretic Aspects of Formal Power Series. N.Y.: Springer Verlag, 1978.

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Айзенберг Л. А., Южаков А. П. Интегральные представления и вычеты в многомерном комплексном анализе. Новосибирск: Наука, 1979.

Egorushkin O. I., Kolbasina I. V., and Safonov K. V. On solvability of systems of symbolic polynomial equations jj J. Siberian Federal University. Mathematics and Physics. 2016. No. 2(9). P. 166-172.