Prime Ideals in Two-Dimensional Domains over the Integers

Authors

Aihua Li, Montclair State UniversityFollow
Sylvia Wiegand, University of Nebraska

Document Type

Article

Publication Date

9-17-1998

Journal / Book Title

Journal of Pure and Applied Algebra

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).

DOI

10.1016/S0022-4049(98)80009-1

MSU Digital Commons Citation

Li, Aihua and Wiegand, Sylvia, "Prime Ideals in Two-Dimensional Domains over the Integers" (1998). Department of Mathematics Facuty Scholarship and Creative Works. 144.
https://digitalcommons.montclair.edu/mathsci-facpubs/144

Published Citation

Li, A., & Wiegand, S. (1998). Prime ideals in two-dimensional domains over the integers. Journal of Pure and Applied Algebra, 130(3), 313-324.