کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772881 | 1413391 | 2009 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Integral closures of Noetherian domains
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It has long been known that an integral domain A can be Noetherian while its integral closure Aâ² is not. However, when Heinzer asked whether Aâ² can have an infinitely generated maximal ideal, the question went unanswered. In this article, a local Noetherian domain A is constructed with the property that Aâ² has an infinitely generated maximal ideal. Moreover, the completion of Aâ² is not Noetherian. It had not previously been shown that this can happen.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 221, Issue 8, August 2017, Pages 1999-2009
Journal: Journal of Pure and Applied Algebra - Volume 221, Issue 8, August 2017, Pages 1999-2009
نویسندگان
Raymond C. Heitmann,