| ID | 68612 |
| フルテキストURL | |
| 著者 |
Honda, Masanobu
Faculty of Pharmaceutical Sciences, Niigata University of Pharmacy and Medical and Life Sciences
Sakamoto, Takanori
Department of Mathematics, University of Teacher Education Fukuoka
|
| 抄録 | We assume that a basic field k has zero characteristic. We show that any Fitting class is serially coalescent for locally finite Lie algebras. We also show that any class X satisfying N ≤ X ≤ ˆGr (e.g. Ft, B, Z, Gr, lN, rN, `e(◁)ˆA, ˆe(◁)ˆA, `Gr) is locally serially coalescent for locally finite Lie algebras, and, for any locally finite Lie algebra L, the X-ser radical of L is locally nilpotent.
|
| キーワード | Lie algebra
serial subalgebra
locally coalescent class
|
| 備考 | Mathematics Subject Classification. Primary 17B65; Secondary 17B30.
|
| 発行日 | 2025-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 67巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 67
|
| 終了ページ | 74
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
|
| 論文のバージョン | publisher
|
| 査読 |
有り
|
| Submission Path | mjou/vol67/iss1/4
|
