| Title:
|
Avoidance principle and intersection property for a class of rings (English) |
| Author:
|
Kumar, Rahul |
| Author:
|
Gaur, Atul |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
1191-1196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
intersection property |
| Keyword:
|
avoidance principle |
| MSC:
|
13A99 |
| MSC:
|
13B30 |
| idZBL:
|
07285990 |
| idMR:
|
MR4181807 |
| DOI:
|
10.21136/CMJ.2020.0360-19 |
| . |
| Date available:
|
2020-11-18T09:51:22Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148422 |
| . |
| Reference:
|
[1] Gottlieb, C.: Finite unions of overrings of an integral domain.(to appear) in J. Commut. Algebra Available at https://projecteuclid.org/euclid.jca/1543654843. |
| Reference:
|
[2] Smith, W. W.: A covering condition for prime ideals.Proc. Am. Math. Soc. 30 (1971), 451-452. Zbl 0219.13004, MR 0282963, 10.1090/S0002-9939-1971-0282963-2 |
| . |
