Institute of Mathematics

Ngo Tan Phuc

Thesis title: Morita Equivalence of Leavitt Path Algebras and Applications

Field: Algebra and Number Theory

Advisors: PGS.TS. Trần Giang Nam (Viện Toán học)

Department-level defense date: 09/10/2024

Institute-level defense date: 08/05/2025

Defense result: 7/7 phiếu tán thành, trong đó có 2 phiếu xuất sắc

PhD degree conferral date: 06/08/2025

Full thesis (PDF)

Thesis summary (PDF)

Summary of new results in Vietnamese, English (PDF)

Publications

  • On Leavitt path algebras of Hopf graphs (2023)
  • The structure of Leavitt path algebras and the invariant basis number property (2019)
  • Leavitt path algebras having unbounded generating number (2017)
  • A criterion for Leavitt path algebras having invariant basis number, preprint arXiv:1606.04607v1 (2016)
  • Leavitt path algebras having unbounded generating number,to appear in Journal of Pure and Applied Algebra (see, also, arXiv:1603.09695). (2016)
  • On Leavitt path algebras of Hopf graphs, Accepted in Acta Mathematica Vietnamica, preprint arXiv (2023)