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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

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📜 SIMILAR VOLUMES


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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

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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