This article is cited in 1 paper

Properties of generalized nilpotent elements of pseudo-normed commutative rings

S. A. Aleschenko^a, V. I. Arnautov^b, S. T. Glavatsky<sup>c

a</sup> 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

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.

UDC: 512.711

 English version: Journal of Mathematical Sciences (New York), 2023, 269:3, 269–275