{"title":"分阶简单模的完全素模，它是莱维特路径代数上的简单","authors":"Risnawita Risnawita, Z. Zubaidah","doi":"10.31958/js.v15i1.9202","DOIUrl":null,"url":null,"abstract":"We characterize a graded simple module in the setting Leavitt path algebras L which is the completely prime module. Let m M and r A, an A-module M is called a completely prime module if for one m M and r A then 0 or m = 0. In this article, we show that If u is a sink or an infinite emitter, then a graded simple module which is simple is not a completely prime module.","PeriodicalId":31905,"journal":{"name":"Sainstek Jurnal Sains dan Teknologi","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Completely Prime Modules for Graded Simple Modules Which is Simple Over Leavitt Path Algebra\",\"authors\":\"Risnawita Risnawita, Z. Zubaidah\",\"doi\":\"10.31958/js.v15i1.9202\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We characterize a graded simple module in the setting Leavitt path algebras L which is the completely prime module. Let m M and r A, an A-module M is called a completely prime module if for one m M and r A then 0 or m = 0. In this article, we show that If u is a sink or an infinite emitter, then a graded simple module which is simple is not a completely prime module.\",\"PeriodicalId\":31905,\"journal\":{\"name\":\"Sainstek Jurnal Sains dan Teknologi\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sainstek Jurnal Sains dan Teknologi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31958/js.v15i1.9202\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sainstek Jurnal Sains dan Teknologi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31958/js.v15i1.9202","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Completely Prime Modules for Graded Simple Modules Which is Simple Over Leavitt Path Algebra
We characterize a graded simple module in the setting Leavitt path algebras L which is the completely prime module. Let m M and r A, an A-module M is called a completely prime module if for one m M and r A then 0 or m = 0. In this article, we show that If u is a sink or an infinite emitter, then a graded simple module which is simple is not a completely prime module.
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