The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields

The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields

In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms Our generalization build on using the conditions This leads us to classify the real quadratic fields  in...

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Bibliographic Details
Main Author: saad abood baddai
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2020-03-01
Series:Baghdad Science Journal
Subjects:
Real quadratic fields, Fundamental units of real quadratic field, Integers of real quadratic field as sum of finite units.
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3018

Internet

http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3018

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