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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 1051–1062 (Mi smj1230)  
Computable solutions of equations over endomorphisms of negative numberings

E. Combarro

Universidad de Oviedo
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Abstract: We prove that a broad class of systems of equations have endomorphisms of negative numberings as solutions. Moreover, we prove that if the endomorphisms of a numbering uniformly solve this class of systems of equations and have the separability property then the numbering is negative.
Keywords: numbering, endomorphism, computability.
Received: 18.06.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 821–828
DOI: https://doi.org/10.1023/A:1025936819861
Bibliographic databases:
UDC: 510.51
Language: Russian
Citation: E. Combarro, “Computable solutions of equations over endomorphisms of negative numberings”, Sibirsk. Mat. Zh., 44:5 (2003), 1051–1062; Siberian Math. J., 44:5 (2003), 821–828
Citation in format AMSBIB
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\pages 1051--1062
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\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 5
\pages 821--828
\crossref{https://doi.org/10.1023/A:1025936819861}
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