A Class of Pinched Domains II

Abstract

We study a class of h-local integral domains, whose nonzero noninvertible ideals can be written as JP ₁…P _k with J invertible ideal, and P ₁,…, P _k distinct ideals, which are maximal among the nonzero noninvertible ideals.

Key Words:

• Invertible ideal
• Prüfer domain

2000 Mathematics Subject Classification:

• Primary: 13A15
• Secondary: 13F05

ACKNOWLEDGMENTS

The first author gratefully acknowledges the warm hospitality and support of the Abdus Salam School of Mathematical Sciences GC University Lahore during his visits in 2006–2010. The second author is highly thankful to Abdus Salam School of Mathematical Sciences, GC University Lahore, and Higher Education Commission of Pakistan for supporting and facilitating this research.

Notes

Communicated by I. Swanson.