| ID | 68612 |
| FullText URL | |
| Author |
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
|
| Abstract | 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.
|
| Keywords | Lie algebra
serial subalgebra
locally coalescent class
|
| Note | Mathematics Subject Classification. Primary 17B65; Secondary 17B30.
|
| Published Date | 2025-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume67
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 67
|
| End Page | 74
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| Copyright Holders | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol67/iss1/4
|
