Characterizations of Conductors in Quartic Number Fields with Ramified Prime

Chanwit Prabpayak

doi:10.4028/www.scientific.net/AMM.866.402

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 866Characterizations of Conductors in Quartic Number...

Characterizations of Conductors in Quartic Number Fields with Ramified Prime

Abstract:

Let O_K be the ring of Integers of a Field K. By an order O in K we mean a subring of O_K containing a Q-basis for the field K. The largest ideal of OK contained in O is called the conductor of O. In this paper we investigate conductor ideals whose norm is a power of some ramified prime in quartic number fields.