Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups
Linear Algebra and Its Applications, cilt.723, ss.58-77, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 723
- Basım Tarihi: 2025
- Doi Numarası: 10.1016/j.laa.2025.05.021
- Dergi Adı: Linear Algebra and Its Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
- Sayfa Sayıları: ss.58-77
- Anahtar Kelimeler: Grothendieck group, Leavitt path algebra, Directed power graph, Circulant matrix
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
In this paper, the Grothendieck group of the Leavitt path algebra over the power graphs of all prime-power cyclic groups is studied by using a well-known computation from linear algebra. More precisely, the Smith normal form of the matrix derived from the adjacency matrix associated with the power graph of prime-power cyclic group is calculated.