Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 141-144
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D. V. Zlydnev. Associative rings with large center. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 141-144. http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a7/
@article{FPM_2012_17_4_a7,
author = {D. V. Zlydnev},
title = {Associative rings with large center},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {141--144},
year = {2012},
volume = {17},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a7/}
}
TY - JOUR
AU - D. V. Zlydnev
TI - Associative rings with large center
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2012
SP - 141
EP - 144
VL - 17
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a7/
LA - ru
ID - FPM_2012_17_4_a7
ER -
%0 Journal Article
%A D. V. Zlydnev
%T Associative rings with large center
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2012
%P 141-144
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a7/
%G ru
%F FPM_2012_17_4_a7
A ring $R$ is called a ring with large center if any nonzero ideal of $R$ has nonzero intersection with the center of $R$. We give some conditions for an ideal of a ring with large center to be itself a ring with large center, and also we provide an example of a ring with large center $R$ and its ideal $I\lhd R$ such that $I$ is not a ring with large center.
[1] Armendariz E. P., Birkenmeier G. F., Park J. K., “Ideal intrinsic extensions with connections to PI-rings”, J. Pure Appl. Algebra, 213 (2009), 1756–1776 | DOI | MR | Zbl
