{"title":"The 𝒰-projective resolution of simple modules over Leavitt path algebras","authors":"D. Kariman, Irawati, I. Muchtadi-Alamsyah","doi":"10.1063/1.5139132","DOIUrl":null,"url":null,"abstract":"Let E be a directed graph and K any field. Let LK (E) denote the Leavitt path algebra with coefficients in K. We determine the 𝒰-projective resolution of simple LK (E)-modules V[c∞] and V[p], where c∞ be a rational infinite path of E and p be an irrational infinite path of E.Let E be a directed graph and K any field. Let LK (E) denote the Leavitt path algebra with coefficients in K. We determine the 𝒰-projective resolution of simple LK (E)-modules V[c∞] and V[p], where c∞ be a rational infinite path of E and p be an irrational infinite path of E.","PeriodicalId":209108,"journal":{"name":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5139132","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let E be a directed graph and K any field. Let LK (E) denote the Leavitt path algebra with coefficients in K. We determine the 𝒰-projective resolution of simple LK (E)-modules V[c∞] and V[p], where c∞ be a rational infinite path of E and p be an irrational infinite path of E.Let E be a directed graph and K any field. Let LK (E) denote the Leavitt path algebra with coefficients in K. We determine the 𝒰-projective resolution of simple LK (E)-modules V[c∞] and V[p], where c∞ be a rational infinite path of E and p be an irrational infinite path of E.
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