Prime ideals in two-dimensional domains over the integers

Aihua Li; Sylvia Wiegand

doi:10.1016/S0022-4049(98)80009-1

Prime ideals in two-dimensional domains over the integers

Aihua Li, Sylvia Wiegand

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 language	English
Pages (from-to)	313-324
Number of pages	12
Journal	Journal of Pure and Applied Algebra
Volume	130
Issue number	3
DOIs	https://doi.org/10.1016/S0022-4049(98)80009-1
State	Published - 17 Sep 1998

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title = "Prime ideals in two-dimensional domains over the integers",

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).",

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AU - Li, Aihua

AU - Wiegand, Sylvia

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Y1 - 1998/9/17

N2 - 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).

AB - 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).

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U2 - 10.1016/S0022-4049(98)80009-1

DO - 10.1016/S0022-4049(98)80009-1

M3 - Article

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SN - 0022-4049

VL - 130

SP - 313

EP - 324

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -

Prime ideals in two-dimensional domains over the integers

Abstract

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