A NOTE ON LPI DOMAINS

作者:Hu, Kui*; Wang, Fanggui; Chen, Hanlin
来源:Bulletin of the Korean Mathematical Society, 2013, 50(3): 719-725.
DOI:10.4134/BKMS.2013.50.3.719

摘要

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.