کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497137 | 1630759 | 2005 | 57 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Liouville closed H-fields
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Liouville closed H-fields Liouville closed H-fields](/preview/png/9497137.png)
چکیده انگلیسی
H-fields are fields with an ordering and a derivation subject to some compatibilities. (Hardy fields extending R and fields of transseries over R are H-fields.) We prove basic facts about the location of zeros of differential polynomials in Liouville closed H-fields, and study various constructions in the category of H-fields: closure under powers, constant field extension, completion, and building H-fields with prescribed constant field and H-couple. We indicate difficulties in obtaining a good model theory of H-fields, including an undecidability result. We finish with open questions that motivate our work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 197, Issues 1â3, 1 May 2005, Pages 83-139
Journal: Journal of Pure and Applied Algebra - Volume 197, Issues 1â3, 1 May 2005, Pages 83-139
نویسندگان
Matthias Aschenbrenner, Lou van den Dries,