Bull. Korean Math. Soc. 2013; 50(3): 719-725
Printed May 31, 2013
https://doi.org/10.4134/BKMS.2013.50.3.719
Copyright © The Korean Mathematical Society.
Kui Hu, Fanggui Wang, and Hanlin Chen
Southwest University of Science and Technology, Sichuan Normal University, Southwest University of Science and Technology
A domain is called an LPI domain if every locally principal ideal is invertible. It is proved in this note that if $D$ is a LPI domain, then $D[X]$ is also an LPI domain. This fact gives a positive answer to an open question put forward by D.~D.~Anderson and M.~Zafrullah.
Keywords: faithfully flat module, LPI domain, polynomial ring
MSC numbers: 13G05
2023; 60(6): 1523-1537
2023; 60(5): 1321-1334
2022; 59(3): 529-545
2019; 56(5): 1257-1272
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd