Hani Abdelwahab, Antonio J. Calderón Martín, Moustafa Mahanna
{"title":"导数在列支三重体系的无势性和半简约性中的作用","authors":"Hani Abdelwahab, Antonio J. Calderón Martín, Moustafa Mahanna","doi":"10.2989/16073606.2024.2320439","DOIUrl":null,"url":null,"abstract":"We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"61 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The role of derivations in the nilpotence and semisimplicity of Lie triple systems\",\"authors\":\"Hani Abdelwahab, Antonio J. Calderón Martín, Moustafa Mahanna\",\"doi\":\"10.2989/16073606.2024.2320439\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient...\",\"PeriodicalId\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"61 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2320439\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2320439","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The role of derivations in the nilpotence and semisimplicity of Lie triple systems
We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient...
期刊介绍:
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.