{"title":"论有限维李代数的外度","authors":"Afsaneh Shamsaki, Mohsen Parvizi, Ahmad Erfanian","doi":"10.1155/2024/5596170","DOIUrl":null,"url":null,"abstract":"In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field <svg height=\"14.1623pt\" style=\"vertical-align:-5.47421pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.68809 11.2755 14.1623\" width=\"11.2755pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,6.097,3.132)\"></path></g></svg> and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Exterior Degree of a Finite-Dimensional Lie Algebra\",\"authors\":\"Afsaneh Shamsaki, Mohsen Parvizi, Ahmad Erfanian\",\"doi\":\"10.1155/2024/5596170\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field <svg height=\\\"14.1623pt\\\" style=\\\"vertical-align:-5.47421pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.68809 11.2755 14.1623\\\" width=\\\"11.2755pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,6.097,3.132)\\\"></path></g></svg> and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.\",\"PeriodicalId\":54214,\"journal\":{\"name\":\"Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/5596170\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/5596170","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the Exterior Degree of a Finite-Dimensional Lie Algebra
In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
期刊介绍：
Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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