- Turkish Journal of Mathematics
- Vol: 37 Issue: 4
- Finitistic Dimension Conjectures for representations of quivers
Finitistic Dimension Conjectures for representations of quivers
Authors : Sergio Estrada, Salahattin Özdemir
Pages : 585-591
Doi:10.3906/mat-1106-13
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let R be a ring and Q be a quiver. We prove the first Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satisfies the conjecture. In fact, we prove that if the little and the big finitistic dimensions of R coincide and equal nKeywords : Finitistic dimension conjecture, path ring, quasi-Frobenius ring, quiver representation