Principal Primitive Ideals in Quadratic Orders and Pell’s Equations

In this paper, we introduce a method of determining whether the primitive ideal is principal in a real quadratic order, depending on the solvability of Pell’s equation.

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Autores principales:	Ahmad Issa, Hasan Sankari
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9b4d3c9f27e146479a463bb3d0573792
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spelling	oai:doaj.org-article:9b4d3c9f27e146479a463bb3d05737922021-11-22T01:10:43ZPrincipal Primitive Ideals in Quadratic Orders and Pell’s Equations2314-478510.1155/2021/3124437https://doaj.org/article/9b4d3c9f27e146479a463bb3d05737922021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3124437https://doaj.org/toc/2314-4785In this paper, we introduce a method of determining whether the primitive ideal is principal in a real quadratic order, depending on the solvability of Pell’s equation.Ahmad IssaHasan SankariHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Ahmad Issa Hasan Sankari Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
description	In this paper, we introduce a method of determining whether the primitive ideal is principal in a real quadratic order, depending on the solvability of Pell’s equation.
format	article
author	Ahmad Issa Hasan Sankari
author_facet	Ahmad Issa Hasan Sankari
author_sort	Ahmad Issa
title	Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
title_short	Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
title_full	Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
title_fullStr	Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
title_full_unstemmed	Principal Primitive Ideals in Quadratic Orders and Pell’s Equations
title_sort	principal primitive ideals in quadratic orders and pell’s equations
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/9b4d3c9f27e146479a463bb3d0573792
work_keys_str_mv	AT ahmadissa principalprimitiveidealsinquadraticordersandpellsequations AT hasansankari principalprimitiveidealsinquadraticordersandpellsequations
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Principal Primitive Ideals in Quadratic Orders and Pell’s Equations

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