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http://dx.doi.org/10.4134/BKMS.2013.50.3.719

A NOTE ON LPI DOMAINS

Hu, Kui (College of Sciences Southwest University of Science and Technology)
Wang, Fanggui (College of Mathematics and Software Science Sichuan Normal University)
Chen, Hanlin (College of Sciences Southwest University of Science and Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 719-725 More about this Journal

Abstract

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;

Citations & Related Records

Reference

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