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Countably coverable rings.
- Source :
- Communications in Algebra; 2023, Vol. 51 Issue 7, p2748-2758, 11p
- Publication Year :
- 2023
-
Abstract
- Let R be an associative ring. Then R is said to be coverable provided R is the union of its proper subrings (which we do not require to be unital even if R is so). One verifies easily that R is coverable if and only if R is not generated as a ring by a single element. In case R can be expressed as the union of a finite number of proper subrings, the least such number is called the covering number of R. Covering numbers of rings have been studied in a series of recent papers. The purpose of this note is to study rings which can be covered by a countable collection of subrings. [ABSTRACT FROM AUTHOR]
- Subjects :
- ASSOCIATIVE rings
COLLECTIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 51
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 162940285
- Full Text :
- https://doi.org/10.1080/00927872.2023.2172177