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Prikl. Diskr. Mat. Suppl., 2016, Issue 9, Pages 119–121
(Mi pdma266)
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This article is cited in 4 scientific papers (total in 4 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.
DOI:
https://doi.org/10.17223/2226308X/9/47
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UDC:
519.682
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
Citation in format AMSBIB
\Bibitem{EgoKolSaf16}
\by O.~I.~Egorushkin, I.~V.~Kolbasina, K.~V.~Safonov
\paper On consistency of systems of symbolic polynomial equations and their application
\jour Prikl. Diskr. Mat. Suppl.
\yr 2016
\issue 9
\pages 119--121
\mathnet{http://mi.mathnet.ru/pdma266}
\crossref{https://doi.org/10.17223/2226308X/9/47}
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http://mi.mathnet.ru/eng/pdma266 http://mi.mathnet.ru/eng/pdma/y2016/i9/p119
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “Analog teoremy o neyavnom otobrazhenii dlya formalnykh grammatik”, PDM. Prilozhenie, 2017, no. 10, 149–151
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O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “O primenenii mnogomernogo kompleksnogo analiza v teorii formalnykh yazykov i grammatik”, PDM, 2017, no. 37, 76–89
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O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “Sintaksicheskii analiz programm metodom integralnykh predstavlenii”, PDM. Prilozhenie, 2018, no. 11, 128–130
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O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “Geometricheskoe uslovie razreshimosti formalnykh grammatik”, PDM. Prilozhenie, 2020, no. 13, 106–108
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