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This article is cited in 8 scientific papers (total in 8 papers)
Mathematical Foundations of Informatics and Programming
On consistency of systems of symbolic polynomial equations and their application
O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk
Abstract:
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.
Keywords:
non-commutative variables, polynomial equations, formal power series, commutative image.
Citation:
O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “On consistency of systems of symbolic polynomial equations and their application”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 119–121
Linking options:
https://www.mathnet.ru/eng/pdma266 https://www.mathnet.ru/eng/pdma/y2016/i9/p119
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Abstract page: | 177 | Full-text PDF : | 48 | References: | 46 |
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