ملخص
We resolve an open problem in commutative algebra and Field Arithmetic, posed by Jarden. Let R be a generalized Krull domain. Is the ring R {left open bracket} X {right open bracket} of formal power series over R a generalized Krull domain? We show that the answer is negative. Moreover, we show that essentially the opposite theorem holds. We prove that if R is a generalized Krull domain which is not a Krull domain, then R {left open bracket} X {right open bracket} is never a generalized Krull domain.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 546-550 |
عدد الصفحات | 5 |
دورية | Journal of Algebra |
مستوى الصوت | 323 |
رقم الإصدار | 2 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 15 يناير 2010 |
منشور خارجيًا | نعم |