Leavitt path algebras are Bézout

被引:0
|
作者
Gene Abrams
Francesca Mantese
Alberto Tonolo
机构
[1] University of Colorado,
[2] Università degli Studi di Verona,undefined
[3] Università degli Studi di Padova,undefined
来源
关键词
D O I
暂无
中图分类号
学科分类号
摘要
Let E be a directed graph, K any field, and let LK(E) denote the Leavitt path algebra of E with coefficients in K. We show that LK(E) is a Bézout ring, i.e., that every finitely generated one-sided ideal of LK(E) is principal.
引用
收藏
页码:53 / 78
页数:25
相关论文
共 50 条
  • [41] A groupoid generalisation of Leavitt path algebras
    Lisa Orloff Clark
    Cynthia Farthing
    Aidan Sims
    Mark Tomforde
    Semigroup Forum, 2014, 89 : 501 - 517
  • [42] TENSOR PRODUCTS OF LEAVITT PATH ALGEBRAS
    Ara, Pere
    Cortinas, Guillermo
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (08) : 2629 - 2639
  • [43] On graded primitive Leavitt path algebras
    Rangaswamy, Kulumani M.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (09)
  • [44] An annihilator condition on Leavitt path algebras
    Bajor, Grzegorz
    Ziembowski, Michal
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2019, 95 (1-2): : 169 - 185
  • [45] On Leavitt Path Algebras of Hopf Graphs
    T. G. Nam
    N. T. Phuc
    Acta Mathematica Vietnamica, 2023, 48 : 533 - 549
  • [46] Lie solvable Leavitt path algebras
    Tran Giang Nam
    Zhang, Zerui
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (10)
  • [47] Chain conditions for Leavitt path algebras
    Abrams, Gene
    Aranda Pino, Gonzalo
    Perera, Francesc
    Siles Molina, Mercedes
    FORUM MATHEMATICUM, 2010, 22 (01) : 95 - 114
  • [48] Leavitt path algebras: the first decade
    Abrams, Gene
    BULLETIN OF MATHEMATICAL SCIENCES, 2015, 5 (01) : 59 - 120
  • [49] Locally finite Leavitt path algebras
    Abrams, G.
    Pino, G. Aranda
    Molina, M. Siles
    ISRAEL JOURNAL OF MATHEMATICS, 2008, 165 (01) : 329 - 348
  • [50] The graded structure of Leavitt path algebras
    Hazrat, R.
    ISRAEL JOURNAL OF MATHEMATICS, 2013, 195 (02) : 833 - 895