کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587632 1334152 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Skolem–Bang theorems in ordered fields with an IP
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Skolem–Bang theorems in ordered fields with an IP
چکیده انگلیسی

This paper is concerned with the extent to which the Skolem–Bang theorems in Diophantine approximations generalize from the standard setting of 〈R,Z〉 to structures of the form 〈F,I〉, where F is an ordered field and I is an integer part of F. We show that some of these theorems are hold unconditionally in general case (ordered fields with an integer part). The remainder results are based on Dirichlet's and Kronecker's theorems. Finally we extend Dirichlet's theorem to ordered fields with IE1 integer part.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 12, 15 June 2008, Pages 4869-4890