On the module structure of the ring of all integers of a p-adic number field-Reference-Cited by-同舟云学术

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On the module structure of the ring of all integers of a p-adic number field

Published:1974-07 Issue: Volume:54 Page:53-59
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Miyata Yoshimasa

Abstract

Let k be a p-adic number field and o be the ring of all integers of k. Let K/k be a cyclic ramified extension of prime degree p with Galois group G. Then the ring of all integers of K is o[G]-module. The purpose of this paper is to give a necessary and sufficient condition for o[G]-modale to be indecomposable.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Eisenstein equations of degree p in a p-adic field;Amano;J. Fac. Sci. Univ. Tokyo,1971

2. Arithmetisch disjunkte Körper;Maus;J. reine angew. Math.,1967

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the isomorphism class of p-primary ambiguous ideals in cyclic wildly ramified extensions of degree p;Japanese journal of mathematics. New series;1991

2. Vertices of ideals of a -adic number field II;Nagoya Mathematical Journal;1987-09

3. Algebraic number fields;Journal of Soviet Mathematics;1987-08

4. Vertices of ideals of a $mathfrak{P}$-adic number field;Illinois Journal of Mathematics;1987-06-01

5. Remarks on the history and applications of integral representations;Integral Representations and Applications;1981

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