• Factorization of Ideals in Leavitt Path algebras 

      Rangaswamy, Kulumani (2017-04-04)
      After pointing out how ideals in a Leavitt path algebra L of a graph E behave like ideals in a commutative ring, we shall consider the question of factorizing an arbitrary ideal I as a product of finitely many special type ...
    • Incidence algebras. Overview 

      Muge, Kanuni (2015-05-13)
      In his celebrated paper of 1964, "On the foundations of combinatorial theory I: Theory of Möbius Functions" Gian-Carlo Rota defined an incidence algebra as a tool for solving combinatorial problems. Incidence algebra is a ...
    • Leavitt path algebras and the IBN property 

      Kanuni, Muge (2016-12-21)
      A ring has invariant basis number property (IBN) if any two bases of a finitely generated free module have the same number of elements. In 1960's Leavitt constructed examples of rings R without IBN, more precisely for any ...
    • On intersections of ideals of Leavitt path algebras 

      Kanuni Er, Muge (2017-04-04)
      During the 2015 CIMPA Research School in Turkey on “Leavitt path algebras and graph C*-algebras”, Astrid an Huef raised the question whether the statement: For a given graph E, every (closed) ideal I of C*(E) is ...