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Straight domains are locally divided.
- Source :
-
Communications in Algebra . 2024, Vol. 52 Issue 7, p3065-3069. 5p. - Publication Year :
- 2024
-
Abstract
- We present a proof that all straight domains are locally divided—thereby answering two open problems posed by Dobbs and Picavet, which appeared in the survey "Open Problems in Commutative Ring Theory" written by Cahen, Fontana, Frisch, and Glaz. In fact, we are able to prove a stronger result: a prime ideal of a domain is straight if and only if it is locally divided. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RING theory
*PRIME ideals
*COMMUTATIVE rings
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 52
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 176722172
- Full Text :
- https://doi.org/10.1080/00927872.2024.2314111