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A remark on the lattice of ideals of a prüfer domain
Journal article   Open access  Peer reviewed

A remark on the lattice of ideals of a prüfer domain

D.D. Anderson
Pacific Journal of Mathematics, Vol.57(2), pp.323-324
1975
DOI: 10.2140/pjm.1975.57.323
url
https://doi.org/10.2140/pjm.1975.57.323View
Published (Version of record) Open Access

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 D' such that L(D) and L(D') are isomorphic. In this note we show that for a Prüfer domain D, there exists a Bézout domain D' such that L(D) and L(D') are isomorphic. © 1975 Pacific Journal of Mathematics Manufactured and first issued in Japan.

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