25 citations · 132 across the 68 of their papers we have counts for
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A one-dimensional coherent domain with non-Prüfer integral closure
Viet-Hoang Tran, Thieu N. Vo, Tan M. Nguyen
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 domai…
Bouvier's Conjecture and Dimension Sequences of Unique Factorization Domains
Viet-Hoang Tran, Thieu N. Vo, Tan M. Nguyen
We prove Bouvier's conjecture. More generally, an integer sequence with is realized by a unique factorization domain (UFD) with $\dim R[X_1,\ldo…
Polynomial extensions do not preserve the strong finite type property
Viet-Hoang Tran, Phan Thanh Toan, Thieu N. Vo +1
Arnold introduced the strong finite type (SFT) property in 1973 while studying the dimension of power series rings. For several classes of rings, polynomial extension is known to p…
The Noetherian Case of Bayart's Power-Series Question
Viet-Hoang Tran, Dung V. Nguyen, Quang X. Nguyen +2
Let be a commutative Noetherian ring. We prove that if the one-variable formal power-series ring is a unique factorization domain, then so is the two-variable formal p…