{"title":"正则代数一元群","authors":"A. Oduwale","doi":"10.4314/JONAMP.V11I1.40190","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to provide a proper identification of normal irreducible, regular algebraic monoids. The results from the work of Renner [3,4] suggest that we should be able to find a classification of these monoids in terms of their unit groups, and related toroidal data. That is what we accomplish here. Keywords: Unipotent radical, . toroidal data, normal, irreducible, regular, zero element, maximal torus, Zariski closure, Lie algebra Journal of the Nigerian Association of Mathematical Physics , Volume 19 (November, 2011), pp 37 – 40","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"257 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Regular algebraic monoids\",\"authors\":\"A. Oduwale\",\"doi\":\"10.4314/JONAMP.V11I1.40190\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to provide a proper identification of normal irreducible, regular algebraic monoids. The results from the work of Renner [3,4] suggest that we should be able to find a classification of these monoids in terms of their unit groups, and related toroidal data. That is what we accomplish here. Keywords: Unipotent radical, . toroidal data, normal, irreducible, regular, zero element, maximal torus, Zariski closure, Lie algebra Journal of the Nigerian Association of Mathematical Physics , Volume 19 (November, 2011), pp 37 – 40\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"257 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40190\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of this paper is to provide a proper identification of normal irreducible, regular algebraic monoids. The results from the work of Renner [3,4] suggest that we should be able to find a classification of these monoids in terms of their unit groups, and related toroidal data. That is what we accomplish here. Keywords: Unipotent radical, . toroidal data, normal, irreducible, regular, zero element, maximal torus, Zariski closure, Lie algebra Journal of the Nigerian Association of Mathematical Physics , Volume 19 (November, 2011), pp 37 – 40
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