Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 3, pp. 3-11
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S. A. Aleschenko; V. I. Arnautov; S. T. Glavatsky. Properties of generalized nilpotent elements of pseudo-normed commutative rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 3, pp. 3-11. http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a0/
@article{FPM_2020_23_3_a0,
author = {S. A. Aleschenko and V. I. Arnautov and S. T. Glavatsky},
title = {Properties of generalized nilpotent elements of pseudo-normed commutative rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {3--11},
year = {2020},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a0/}
}
TY - JOUR
AU - S. A. Aleschenko
AU - V. I. Arnautov
AU - S. T. Glavatsky
TI - Properties of generalized nilpotent elements of pseudo-normed commutative rings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2020
SP - 3
EP - 11
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a0/
LA - ru
ID - FPM_2020_23_3_a0
ER -
%0 Journal Article
%A S. A. Aleschenko
%A V. I. Arnautov
%A S. T. Glavatsky
%T Properties of generalized nilpotent elements of pseudo-normed commutative rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2020
%P 3-11
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2020_23_3_a0/
%G ru
%F FPM_2020_23_3_a0
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.
