ID | 33114 |
フルテキストURL | |
著者 |
Itoh, Tsuyoshi
Ritsumeikan University
|
抄録 | Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal. In the present paper, we shall consider a question whether a similar result holds when the class number of k is 2p. We also consider an analogous question for the case that k is an imaginary quartic abelian field. |
キーワード | Ideal class group
|
発行日 | 2007-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 49巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 185
|
終了ページ | 196
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
論文のバージョン | publisher
|
査読 |
有り
|
Submission Path | mjou/vol49/iss1/13
|
JaLCDOI |