Conductor ideals in Galois extensions

Authors

  • Chanwit Prabpayak Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon, Bangkok 10800, Thailand.

Keywords:

conductor ideal, order

Abstract

Let K be an algebraic number field, OK its ring of integers. An order O in K is a subring of OK which contains a Z -basis for the field K. The conductor of O is the largest ideal of OK contained in O. This paper showed that Z + ƒ is the only one order in quadratic number fields having conductor ideal and conductor ideals were characterized in a Galois extension over Q.

Downloads

Published

2015-04-30

How to Cite

Prabpayak, Chanwit. 2015. “Conductor Ideals in Galois Extensions”. Agriculture and Natural Resources 49 (2). Bangkok, Thailand:301-4. https://li01.tci-thaijo.org/index.php/anres/article/view/243574.

Issue

Vol. 49 No. 2 (2015): March-April

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.