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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 3–11 (Mi fpm1894)  
Properties of generalized nilpotent elements of pseudo-normed commutative rings

S. A. Aleschenkoa, V. I. Arnautovb, S. T. Glavatskyc

a Taras Shevchenko Transnistria State University, Tiraspol, Transnistria / Moldova
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
c Moscow Lomonosov State University, Moscow, Russia
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Abstract: The set $I$ of all generalized nilpotent elements of a pseudo-normed commutative ring $(R,\xi )$ is a closed ideal, and the factor ring $(R,\xi )/I$ does not contain nonzero generalized nilpotent elements.
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 269–275
DOI: https://doi.org/10.1007/s10958-023-06276-6
Document Type: Article
UDC: 512.711
Language: Russian
Citation: S. A. Aleschenko, V. I. Arnautov, S. T. Glavatsky, “Properties of generalized nilpotent elements of pseudo-normed commutative rings”, Fundam. Prikl. Mat., 23:3 (2020), 3–11; J. Math. Sci., 269:3 (2023), 269–275
Citation in format AMSBIB
\Bibitem{AleArnGla20}
\by S.~A.~Aleschenko, V.~I.~Arnautov, S.~T.~Glavatsky
\paper Properties of generalized nilpotent elements of pseudo-normed commutative rings
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/fpm1894}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 269--275
\crossref{https://doi.org/10.1007/s10958-023-06276-6}
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