On Prüfer v-multiplication domains
✍ Scribed by Joe L. Mott; Muhammad Zafrullah
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 951 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let D be a domain with quotient field K. We consider the ring Int D [ f g w x Ž . x K X ; f D : D of integer-valued polynomial rings over D. We completely Ž . characterize the domains D for which Int D is a Prufer ¨-multiplication domain. ᮊ
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
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