PreprintCC BY 4.0arXiv
A one-dimensional coherent domain with non-Prüfer integral closure
Abstract
In a question recorded in 1978, Vasconcelos asked whether the integral closure of a one-dimensional coherent local domain in its fraction field is Prüfer. We construct such a domain whose integral closure is not Prüfer, giving a negative answer.
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BibTeX
@misc{tran2026onedimensional,
title = {{A one-dimensional coherent domain with non-Prüfer integral closure}},
author = {Viet-Hoang Tran and Thieu N. Vo and Tan M. Nguyen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21013},
eprint = {2609.21013},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21013},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A one-dimensional coherent domain with non-Prüfer integral closure
AU - Viet-Hoang Tran
AU - Thieu N. Vo
AU - Tan M. Nguyen
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.21013
UR - https://arxiv.org/abs/2609.21013
AB - In a question recorded in 1978, Vasconcelos asked whether the integral closure of a one-dimensional coherent local domain in its fraction field is Prüfer. We construct such a domain whose integral closure is not Prüfer, giving a negative answer.
ER -