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Straight domains are locally divided.

Authors :
Secord, Spencer
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]

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