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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 5, Pages 161–170 (Mi fpm1077)  
Algebraicity in local rings

I. O. Kachkovskii

M. V. Lomonosov Moscow State University
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Abstract: In this paper, we study skew polynomials over local rings, their roots and decompositions. We introduce the concept of an algebraic set in a local ring and study this concept using the theory of skew polynomials.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 156, Issue 2, Pages 313–319
DOI: https://doi.org/10.1007/s10958-008-9268-z
Bibliographic databases:
UDC: 512.552
Language: Russian
Citation: I. O. Kachkovskii, “Algebraicity in local rings”, Fundam. Prikl. Mat., 13:5 (2007), 161–170; J. Math. Sci., 156:2 (2009), 313–319
Citation in format AMSBIB
\Bibitem{Kac07}
\by I.~O.~Kachkovskii
\paper Algebraicity in local rings
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 5
\pages 161--170
\mathnet{http://mi.mathnet.ru/fpm1077}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2379744}
\zmath{https://zbmath.org/?q=an:1178.16026}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 156
\issue 2
\pages 313--319
\crossref{https://doi.org/10.1007/s10958-008-9268-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-58149515811}
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    		Фундаментальная и прикладная математика
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