| ID | 33492 |
| フルテキストURL | |
| 著者 |
Honda, Masanobu
Faculty of Pharmaceutidal Sciences, Niigata University of Pharmacy and Applied Life Sciences
Sakamoto, Takanori
Department of Mathematics, Fukuoka University of Education
|
| 抄録 | We introduce the concept of serially coalescent classes of Lie algebras corresponding to those of coalescent classes and ascendantly coalescent classes. We show that the class of finite-dimensional and nilpotent, the class of finite-dimensional and the class of finite-dimensional and soluble Lie algebras, are serially coalescent classes for locally finite Lie algebras over any field of characteristic zero. We also introduce the concept of locally serially coalescent classes of Lie algebras and find some locally serially coalescent classes for locally finite Lie algebras. |
| キーワード | Lie algebra
serial subalgebra
coalescent class
|
| 発行日 | 2010-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 52巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 77
|
| 終了ページ | 87
|
| 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/vol52/iss1/6
|
| JaLCDOI |
