{"title":"论莱布尼兹代数扩展的加布里埃尔四维空间","authors":"Ziwendtaoré Hermann Bamogo, Friedrich Wagemann","doi":"10.1080/00927872.2024.2390623","DOIUrl":null,"url":null,"abstract":"We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"65 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Gabriel quiver of extensions of Leibniz algebras\",\"authors\":\"Ziwendtaoré Hermann Bamogo, Friedrich Wagemann\",\"doi\":\"10.1080/00927872.2024.2390623\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"65 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2390623\",\"RegionNum\":3,\"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":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2390623","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the Gabriel quiver of extensions of Leibniz algebras
We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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