کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9497161 1630754 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Prime ideals in birational extensions of two-dimensional polynomial rings
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Prime ideals in birational extensions of two-dimensional polynomial rings
چکیده انگلیسی
“For which commutative Noetherian rings A is Spec(A), the set of prime ideals of A, order-isomorphic under inclusion to Spec(Z[x]), the prime ideals of the polynomial ring in one variable over the integers?” We show that this is true for every finitely generated birational extension of the polynomial ring in one variable over an order D in an algebraic number field; that is, if B is an intermediate ring between D[x] and its quotient field and B is finitely generated over D[x], then Spec(B)≅Spec(Z[x]).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 201, Issues 1–3, 1 October 2005, Pages 142-153
نویسندگان
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