Avoidance principle and intersection property for a class of rings
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 4, page 1191-1196
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topKumar, Rahul, and Gaur, Atul. "Avoidance principle and intersection property for a class of rings." Czechoslovak Mathematical Journal 70.4 (2020): 1191-1196. <http://eudml.org/doc/297355>.
@article{Kumar2020,
abstract = {Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary union of rings, then $R$ is contained in one of them under various conditions. Similarly, if an arbitrary intersection of rings is contained in $R$, then $R$ contains one of them under various conditions.},
author = {Kumar, Rahul, Gaur, Atul},
journal = {Czechoslovak Mathematical Journal},
keywords = {intersection property; avoidance principle},
language = {eng},
number = {4},
pages = {1191-1196},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Avoidance principle and intersection property for a class of rings},
url = {http://eudml.org/doc/297355},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Kumar, Rahul
AU - Gaur, Atul
TI - Avoidance principle and intersection property for a class of rings
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 1191
EP - 1196
AB - Let $R$ be a commutative ring with identity. If a ring $R$ is contained in an arbitrary union of rings, then $R$ is contained in one of them under various conditions. Similarly, if an arbitrary intersection of rings is contained in $R$, then $R$ contains one of them under various conditions.
LA - eng
KW - intersection property; avoidance principle
UR - http://eudml.org/doc/297355
ER -
References
top- Gottlieb, C., Finite unions of overrings of an integral domain, (to appear) in J. Commut. Algebra Available at https://projecteuclid.org/euclid.jca/1543654843.
- Smith, W. W., 10.1090/S0002-9939-1971-0282963-2, Proc. Am. Math. Soc. 30 (1971), 451-452. (1971) Zbl0219.13004MR0282963DOI10.1090/S0002-9939-1971-0282963-2
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.