Prime ideals in two-dimensional domains over the integers

Aihua Li, Sylvia Wiegand

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let B be a finitely generated birational extension of ℤ [x], the ring of polynomials in one variable over the integers ℤ. (That is, B is a finitely generated extension of ℤ [x] contained in its quotient field ℚ(x).) Then Spec(B) is order-isoraorphic to Spec(ℤ[x]). This affirms part of a conjecture of Wiegand (1986).

Original languageEnglish
Pages (from-to)313-324
Number of pages12
JournalJournal of Pure and Applied Algebra
Volume130
Issue number3
DOIs
StatePublished - 17 Sep 1998

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Prime Ideal
Finitely Generated
Integer
Quotient
Ring
Polynomial

Cite this

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Prime ideals in two-dimensional domains over the integers. / Li, Aihua; Wiegand, Sylvia.

In: Journal of Pure and Applied Algebra, Vol. 130, No. 3, 17.09.1998, p. 313-324.

Research output: Contribution to journalArticle

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AU - Wiegand, Sylvia

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