Representation of Algebraic Integers as Sum of Units over the Real Quadratic Fields

Autor:	Saad A. Baddai
Jazyk:	Arabic<br />English
Rok vydání:	2019
Předmět:	Fundamental units of real quadratic field Integers of real quadratic field as sum of finite units Real quadratic fields. Science
Zdroj:	Baghdad Science Journal, Vol 16, Iss 3(Suppl.) (2019)
Druh dokumentu:	article
ISSN:	2078-8665 2411-7986
DOI:	10.21123/bsj.2019.16.3(Suppl.).0781
Popis:	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 into the sets Jacobsons results shows that and Sliwa confirm that and are the only real quadratic fields in .
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1ea9aabf9b2f4fc996f5e7ecc09ac82d Zobrazit plný text záznamu View record in DOAJ