Vol. 57, No. 2, 1975

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A remark on the lattice of ideals of a Prüfer domain

Daniel D. Anderson

Vol. 57 (1975), No. 2, 323–324
Abstract

For a ring R we will use L(R) to denote the lattice of ideals of R. It is known that for a Dedekind domain D, there exists a PID Dsuch that L(D) and L(D) are isomorphic. In this note we show that for a Prüfer domain D, there exists a Bézout domain Dsuch that L(D) and L(D) are isomorphic.

Mathematical Subject Classification 2000
Primary: 13F05
Milestones
Received: 10 October 1974
Published: 1 April 1975
Authors
Daniel D. Anderson