Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 3, Pages 60–63
DOI: https://doi.org/10.33048/pam.2018.18.306 (Mi vngu479) 		 
Once more on the direct and inverse limits of retractive spectra

A. G. Pinus

Novosibirsk State Technical University, 20, pr. Karla Marksa, Novosibirsk 630092, Russia
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DOI: https://doi.org/10.33048/pam.2018.18.306
Abstract: It is proved that any $\forall\exists$-formula which is true on the inverse limit of retractive spector of algebras is true on the direct limit of this spector. We obtain some consecuences from this allegation relative definable functions.
Keywords: retractive spector, direct and inverse limits, definable functions.
Received: 28.03.2018
English version:
Journal of Mathematical Sciences, 2021, Volume 253, Issue 3, Pages 444–447
DOI: https://doi.org/10.1007/s10958-021-05240-6
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. G. Pinus, “Once more on the direct and inverse limits of retractive spectra”, Sib. J. Pure and Appl. Math., 18:3 (2018), 60–63; J. Math. Sci., 253:3 (2021), 444–447
Citation in format AMSBIB
\Bibitem{Pin18}
\by A.~G.~Pinus
\paper Once more on the direct and inverse limits of retractive spectra
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 3
\pages 60--63
\mathnet{http://mi.mathnet.ru/vngu479}
\crossref{https://doi.org/10.33048/pam.2018.18.306}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 253
\issue 3
\pages 444--447
\crossref{https://doi.org/10.1007/s10958-021-05240-6}
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