On Conductor Ideals of Quadratic Orders

Authors

  • Shehzadi Almas
  • Shafiq Ur Rehman
  • Sidra Younus

Keywords:

Integral dependence, algebraic number field, orders in algebraic number field, conductor ideal, Dedekind domain.

Abstract

In this paper we study the orders in quadratic number fields. We give a complete description of conductor ideals of certain orders in quadratic number fields and investigate some of their important arithmetic properties.

Key words and phrases. Integral dependence, algebraic number field, orders in algebraic number field, conductor ideal, Dedekind domain.

2010 Mathematics Subject Classification. 13A15, 13F05

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Published

2025-05-18

How to Cite

Shehzadi Almas, Shafiq Ur Rehman, & Sidra Younus. (2025). On Conductor Ideals of Quadratic Orders. Jordan Journal of Mathematics and Statistics, 14(2), 243–252. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/807

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