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Prüfer domains with Clifford class semigroup

✍ Scribed by Mcgovern, Warren Wm.

Book ID
125480006
Publisher
Rocky Mountain Mathematics Consortium
Year
2011
Tongue
English
Weight
226 KB
Volume
3
Category
Article
ISSN
1939-2346

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📜 SIMILAR VOLUMES

Class Semigroups of Prüfer Domains
Class Semigroups of Prüfer Domains
✍ S Bazzoni 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 218 KB

The class semigroup of a commutative integral domain R is the semigroup S S R of the isomorphism classes of the nonzero ideals of R with the operation induced by multiplication. The aim of this paper is to characterize the Prufer domains R Ž . such that the semigroup S S R is a Clifford semigroup, n

Overrings of prüfer domains
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✍ Robert W Gilmer Jr. 📂 Article 📅 1966 🏛 Elsevier Science 🌐 English ⚖ 552 KB
Two Prüfer Domain Counterexamples
Two Prüfer Domain Counterexamples
✍ K.Alan Loper 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 110 KB

In that paper, they used the above problem as motivation to ask the related question of when the ideal class group of a Prüfer domain is generated by the classes of the invertible maximal ideals. They gave a very satisfactory answer to this question, but left Boisen's question unsolved. In this arti