کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4587407 | 1334143 | 2009 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Derivations of R[X,Y,Z] with a slice
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Derivations of R[X,Y,Z] with a slice Derivations of R[X,Y,Z] with a slice](/preview/png/4587407.png)
چکیده انگلیسی
The question under consideration is whether every locally nilpotent R-derivation of R[X,Y,Z] with a slice has kernel A generated by two elements over R, where R is a polynomial ring over a field of characteristic zero. Theorem 1.1 gives a fundamental property of such kernels, namely, that A is an A2-fibration over R. While it is an open question whether every A2-fibration over R is trivial, the property of A asserted in the theorem is necessary to the condition that A is a polynomial ring in two variables over R. The last section of the paper presents a family of examples θn (n⩾1) which are quite simple to define, but whose status relative to the kernel question is not known.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 9, 1 November 2009, Pages 3078-3087
Journal: Journal of Algebra - Volume 322, Issue 9, 1 November 2009, Pages 3078-3087