Properties of Generalized Nilpotent Elements of Pseudo-Normed Commutative Rings

Aleschenko Svetlana; Arnautov Vladimir; Glavatsky S.

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194

SM ISO690:2012

ALESCHENKO, Svetlana, ARNAUTOV, Vladimir, GLAVATSKY, S.. Properties of Generalized Nilpotent Elements of Pseudo-Normed Commutative Rings. In: Journal of Mathematical Sciences (United States), 2023, nr. 1, pp. 269-275. ISSN 1072-3374. DOI: https://doi.org/10.1007/s10958-023-06276-6

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Journal of Mathematical Sciences (United States)

Numărul 1 / 2023 / ISSN 1072-3374 /ISSNe 1573-8795

Properties of Generalized Nilpotent Elements of Pseudo-Normed Commutative Rings

DOI:https://doi.org/10.1007/s10958-023-06276-6

Pag. 269-275

Aleschenko Svetlana¹, Arnautov Vladimir², Glavatsky S.³

¹ T.G. Shevchenko State University of Pridnestrovie, Tiraspol,
² Vladimir Andrunachievici Institute of Mathematics and Computer Science,
³ Lomonosov Moscow State University

Disponibil în IBN: 27 februarie 2023

Rezumat

The set I of all generalized nilpotent elements of a pseudo-normed commutative ring (R, ξ) is a closed ideal, and the factor ring (R, ξ)/I does not contain nonzero generalized nilpotent elements.